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Finding the Third Proportional to 28,702 and 62,486

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Solution

The third proportional to 28,702 and 62,486 is: 136,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702 : 62,486 = 62,486 : x
  2. Step 2: Convert to fraction form
    28,702/62,486 = 62,486/x
  3. Step 3: Cross multiply
    28,702x = 62,486 × 62,486
  4. Step 4: Simplify right side
    28,702x = 3,904,500,196
  5. Step 5: Solve for x
    x = 3,904,500,196/28,702
  6. Step 6: Final answer
    x = 136,035.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.