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Finding the Third Proportional to 31,554 and 47,057

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Solution

The third proportional to 31,554 and 47,057 is: 70,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554 : 47,057 = 47,057 : x
  2. Step 2: Convert to fraction form
    31,554/47,057 = 47,057/x
  3. Step 3: Cross multiply
    31,554x = 47,057 × 47,057
  4. Step 4: Simplify right side
    31,554x = 2,214,361,249
  5. Step 5: Solve for x
    x = 2,214,361,249/31,554
  6. Step 6: Final answer
    x = 70,176.88

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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.