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Finding the Third Proportional to 47,687.91 and 72,145.69

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Solution

The third proportional to 47,687.91 and 72,145.69 is: 109,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.91 : 72,145.69 = 72,145.69 : x
  2. Step 2: Convert to fraction form
    47,687.91/72,145.69 = 72,145.69/x
  3. Step 3: Cross multiply
    47,687.91x = 72,145.69 × 72,145.69
  4. Step 4: Simplify right side
    47,687.91x = 5,205,000,224.85
  5. Step 5: Solve for x
    x = 5,205,000,224.85/47,687.91
  6. Step 6: Final answer
    x = 109,147.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.