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Finding the Third Proportional to 47,226.75 and 73,711.13

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Solution

The third proportional to 47,226.75 and 73,711.13 is: 115,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,226.75 : 73,711.13 = 73,711.13 : x
  2. Step 2: Convert to fraction form
    47,226.75/73,711.13 = 73,711.13/x
  3. Step 3: Cross multiply
    47,226.75x = 73,711.13 × 73,711.13
  4. Step 4: Simplify right side
    47,226.75x = 5,433,329,948.77
  5. Step 5: Solve for x
    x = 5,433,329,948.77/47,226.75
  6. Step 6: Final answer
    x = 115,047.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.