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Finding the Third Proportional to 29,717.25 and 47,785.50

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Solution

The third proportional to 29,717.25 and 47,785.50 is: 76,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,717.25 : 47,785.50 = 47,785.50 : x
  2. Step 2: Convert to fraction form
    29,717.25/47,785.50 = 47,785.50/x
  3. Step 3: Cross multiply
    29,717.25x = 47,785.50 × 47,785.50
  4. Step 4: Simplify right side
    29,717.25x = 2,283,454,010.25
  5. Step 5: Solve for x
    x = 2,283,454,010.25/29,717.25
  6. Step 6: Final answer
    x = 76,839.34

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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.