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Finding the Third Proportional to 48,424 and 72,612

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Solution

The third proportional to 48,424 and 72,612 is: 108,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,424 : 72,612 = 72,612 : x
  2. Step 2: Convert to fraction form
    48,424/72,612 = 72,612/x
  3. Step 3: Cross multiply
    48,424x = 72,612 × 72,612
  4. Step 4: Simplify right side
    48,424x = 5,272,502,544
  5. Step 5: Solve for x
    x = 5,272,502,544/48,424
  6. Step 6: Final answer
    x = 108,882.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.