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Finding the Third Proportional to 47,816 and 71,436

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Solution

The third proportional to 47,816 and 71,436 is: 106,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816 : 71,436 = 71,436 : x
  2. Step 2: Convert to fraction form
    47,816/71,436 = 71,436/x
  3. Step 3: Cross multiply
    47,816x = 71,436 × 71,436
  4. Step 4: Simplify right side
    47,816x = 5,103,102,096
  5. Step 5: Solve for x
    x = 5,103,102,096/47,816
  6. Step 6: Final answer
    x = 106,723.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.