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Finding the Third Proportional to 29,458 and 61,398

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Solution

The third proportional to 29,458 and 61,398 is: 127,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458 : 61,398 = 61,398 : x
  2. Step 2: Convert to fraction form
    29,458/61,398 = 61,398/x
  3. Step 3: Cross multiply
    29,458x = 61,398 × 61,398
  4. Step 4: Simplify right side
    29,458x = 3,769,714,404
  5. Step 5: Solve for x
    x = 3,769,714,404/29,458
  6. Step 6: Final answer
    x = 127,969.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.