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Finding the Third Proportional to 48,766 and 65,373

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Solution

The third proportional to 48,766 and 65,373 is: 87,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,766 : 65,373 = 65,373 : x
  2. Step 2: Convert to fraction form
    48,766/65,373 = 65,373/x
  3. Step 3: Cross multiply
    48,766x = 65,373 × 65,373
  4. Step 4: Simplify right side
    48,766x = 4,273,629,129
  5. Step 5: Solve for x
    x = 4,273,629,129/48,766
  6. Step 6: Final answer
    x = 87,635.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.