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Finding the Third Proportional to 47,000.50 and 72,744

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Solution

The third proportional to 47,000.50 and 72,744 is: 112,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.50 : 72,744 = 72,744 : x
  2. Step 2: Convert to fraction form
    47,000.50/72,744 = 72,744/x
  3. Step 3: Cross multiply
    47,000.50x = 72,744 × 72,744
  4. Step 4: Simplify right side
    47,000.50x = 5,291,689,536
  5. Step 5: Solve for x
    x = 5,291,689,536/47,000.50
  6. Step 6: Final answer
    x = 112,587.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.