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Finding the Third Proportional to 39,492 and 62,524

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Solution

The third proportional to 39,492 and 62,524 is: 98,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,492 : 62,524 = 62,524 : x
  2. Step 2: Convert to fraction form
    39,492/62,524 = 62,524/x
  3. Step 3: Cross multiply
    39,492x = 62,524 × 62,524
  4. Step 4: Simplify right side
    39,492x = 3,909,250,576
  5. Step 5: Solve for x
    x = 3,909,250,576/39,492
  6. Step 6: Final answer
    x = 98,988.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.