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Finding the Third Proportional to 47,290.50 and 71,919

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Solution

The third proportional to 47,290.50 and 71,919 is: 109,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,290.50 : 71,919 = 71,919 : x
  2. Step 2: Convert to fraction form
    47,290.50/71,919 = 71,919/x
  3. Step 3: Cross multiply
    47,290.50x = 71,919 × 71,919
  4. Step 4: Simplify right side
    47,290.50x = 5,172,342,561
  5. Step 5: Solve for x
    x = 5,172,342,561/47,290.50
  6. Step 6: Final answer
    x = 109,373.82

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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.