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Finding the Third Proportional to 39,486 and 62,514

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Solution

The third proportional to 39,486 and 62,514 is: 98,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,486 : 62,514 = 62,514 : x
  2. Step 2: Convert to fraction form
    39,486/62,514 = 62,514/x
  3. Step 3: Cross multiply
    39,486x = 62,514 × 62,514
  4. Step 4: Simplify right side
    39,486x = 3,908,000,196
  5. Step 5: Solve for x
    x = 3,908,000,196/39,486
  6. Step 6: Final answer
    x = 98,971.79

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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.