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Finding the Third Proportional to 9,946.50 and 21,652.50

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Solution

The third proportional to 9,946.50 and 21,652.50 is: 47,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.50 : 21,652.50 = 21,652.50 : x
  2. Step 2: Convert to fraction form
    9,946.50/21,652.50 = 21,652.50/x
  3. Step 3: Cross multiply
    9,946.50x = 21,652.50 × 21,652.50
  4. Step 4: Simplify right side
    9,946.50x = 468,830,756.25
  5. Step 5: Solve for x
    x = 468,830,756.25/9,946.50
  6. Step 6: Final answer
    x = 47,135.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.