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Finding the Third Proportional to 48,399 and 72,599

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Solution

The third proportional to 48,399 and 72,599 is: 108,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399 : 72,599 = 72,599 : x
  2. Step 2: Convert to fraction form
    48,399/72,599 = 72,599/x
  3. Step 3: Cross multiply
    48,399x = 72,599 × 72,599
  4. Step 4: Simplify right side
    48,399x = 5,270,614,801
  5. Step 5: Solve for x
    x = 5,270,614,801/48,399
  6. Step 6: Final answer
    x = 108,899.25

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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.