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Finding the Third Proportional to 29,677.13 and 60,451.88

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Solution

The third proportional to 29,677.13 and 60,451.88 is: 123,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.13 : 60,451.88 = 60,451.88 : x
  2. Step 2: Convert to fraction form
    29,677.13/60,451.88 = 60,451.88/x
  3. Step 3: Cross multiply
    29,677.13x = 60,451.88 × 60,451.88
  4. Step 4: Simplify right side
    29,677.13x = 3,654,429,191.02
  5. Step 5: Solve for x
    x = 3,654,429,191.02/29,677.13
  6. Step 6: Final answer
    x = 123,139.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.