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Finding the Third Proportional to 48,800 and 75,708

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Solution

The third proportional to 48,800 and 75,708 is: 117,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,800 : 75,708 = 75,708 : x
  2. Step 2: Convert to fraction form
    48,800/75,708 = 75,708/x
  3. Step 3: Cross multiply
    48,800x = 75,708 × 75,708
  4. Step 4: Simplify right side
    48,800x = 5,731,701,264
  5. Step 5: Solve for x
    x = 5,731,701,264/48,800
  6. Step 6: Final answer
    x = 117,452.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.