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Finding the Third Proportional to 47,695.50 and 75,438

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Solution

The third proportional to 47,695.50 and 75,438 is: 119,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695.50 : 75,438 = 75,438 : x
  2. Step 2: Convert to fraction form
    47,695.50/75,438 = 75,438/x
  3. Step 3: Cross multiply
    47,695.50x = 75,438 × 75,438
  4. Step 4: Simplify right side
    47,695.50x = 5,690,891,844
  5. Step 5: Solve for x
    x = 5,690,891,844/47,695.50
  6. Step 6: Final answer
    x = 119,317.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.