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Finding the Third Proportional to 48,882 and 72,027

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Solution

The third proportional to 48,882 and 72,027 is: 106,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882 : 72,027 = 72,027 : x
  2. Step 2: Convert to fraction form
    48,882/72,027 = 72,027/x
  3. Step 3: Cross multiply
    48,882x = 72,027 × 72,027
  4. Step 4: Simplify right side
    48,882x = 5,187,888,729
  5. Step 5: Solve for x
    x = 5,187,888,729/48,882
  6. Step 6: Final answer
    x = 106,130.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.