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Finding the Third Proportional to 11,324.25 and 22,972.50

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Solution

The third proportional to 11,324.25 and 22,972.50 is: 46,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.25 : 22,972.50 = 22,972.50 : x
  2. Step 2: Convert to fraction form
    11,324.25/22,972.50 = 22,972.50/x
  3. Step 3: Cross multiply
    11,324.25x = 22,972.50 × 22,972.50
  4. Step 4: Simplify right side
    11,324.25x = 527,735,756.25
  5. Step 5: Solve for x
    x = 527,735,756.25/11,324.25
  6. Step 6: Final answer
    x = 46,602.27

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.