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Finding the Third Proportional to 39,801 and 62,122.50

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Solution

The third proportional to 39,801 and 62,122.50 is: 96,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,801 : 62,122.50 = 62,122.50 : x
  2. Step 2: Convert to fraction form
    39,801/62,122.50 = 62,122.50/x
  3. Step 3: Cross multiply
    39,801x = 62,122.50 × 62,122.50
  4. Step 4: Simplify right side
    39,801x = 3,859,205,006.25
  5. Step 5: Solve for x
    x = 3,859,205,006.25/39,801
  6. Step 6: Final answer
    x = 96,962.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.