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Finding the Third Proportional to 49,871 and 73,330

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Solution

The third proportional to 49,871 and 73,330 is: 107,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871 : 73,330 = 73,330 : x
  2. Step 2: Convert to fraction form
    49,871/73,330 = 73,330/x
  3. Step 3: Cross multiply
    49,871x = 73,330 × 73,330
  4. Step 4: Simplify right side
    49,871x = 5,377,288,900
  5. Step 5: Solve for x
    x = 5,377,288,900/49,871
  6. Step 6: Final answer
    x = 107,823.96

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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.