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Finding the Third Proportional to 29,764.13 and 47,854.69

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Solution

The third proportional to 29,764.13 and 47,854.69 is: 76,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764.13 : 47,854.69 = 47,854.69 : x
  2. Step 2: Convert to fraction form
    29,764.13/47,854.69 = 47,854.69/x
  3. Step 3: Cross multiply
    29,764.13x = 47,854.69 × 47,854.69
  4. Step 4: Simplify right side
    29,764.13x = 2,290,071,115.72
  5. Step 5: Solve for x
    x = 2,290,071,115.72/29,764.13
  6. Step 6: Final answer
    x = 76,940.65

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.