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Finding the Third Proportional to 29,702 and 61,287

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Solution

The third proportional to 29,702 and 61,287 is: 126,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702 : 61,287 = 61,287 : x
  2. Step 2: Convert to fraction form
    29,702/61,287 = 61,287/x
  3. Step 3: Cross multiply
    29,702x = 61,287 × 61,287
  4. Step 4: Simplify right side
    29,702x = 3,756,096,369
  5. Step 5: Solve for x
    x = 3,756,096,369/29,702
  6. Step 6: Final answer
    x = 126,459.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.