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Finding the Third Proportional to 22,352.25 and 31,324.50

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Solution

The third proportional to 22,352.25 and 31,324.50 is: 43,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.25 : 31,324.50 = 31,324.50 : x
  2. Step 2: Convert to fraction form
    22,352.25/31,324.50 = 31,324.50/x
  3. Step 3: Cross multiply
    22,352.25x = 31,324.50 × 31,324.50
  4. Step 4: Simplify right side
    22,352.25x = 981,224,300.25
  5. Step 5: Solve for x
    x = 981,224,300.25/22,352.25
  6. Step 6: Final answer
    x = 43,898.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.