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Finding the Third Proportional to 47,065.13 and 71,701.38

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Solution

The third proportional to 47,065.13 and 71,701.38 is: 109,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065.13 : 71,701.38 = 71,701.38 : x
  2. Step 2: Convert to fraction form
    47,065.13/71,701.38 = 71,701.38/x
  3. Step 3: Cross multiply
    47,065.13x = 71,701.38 × 71,701.38
  4. Step 4: Simplify right side
    47,065.13x = 5,141,087,176.89
  5. Step 5: Solve for x
    x = 5,141,087,176.89/47,065.13
  6. Step 6: Final answer
    x = 109,233.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.