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Finding the Third Proportional to 48,264 and 63,612

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Solution

The third proportional to 48,264 and 63,612 is: 83,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,264 : 63,612 = 63,612 : x
  2. Step 2: Convert to fraction form
    48,264/63,612 = 63,612/x
  3. Step 3: Cross multiply
    48,264x = 63,612 × 63,612
  4. Step 4: Simplify right side
    48,264x = 4,046,486,544
  5. Step 5: Solve for x
    x = 4,046,486,544/48,264
  6. Step 6: Final answer
    x = 83,840.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.