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Finding the Third Proportional to 39,394 and 57,398

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Solution

The third proportional to 39,394 and 57,398 is: 83,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,394 : 57,398 = 57,398 : x
  2. Step 2: Convert to fraction form
    39,394/57,398 = 57,398/x
  3. Step 3: Cross multiply
    39,394x = 57,398 × 57,398
  4. Step 4: Simplify right side
    39,394x = 3,294,530,404
  5. Step 5: Solve for x
    x = 3,294,530,404/39,394
  6. Step 6: Final answer
    x = 83,630.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.