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Finding the Third Proportional to 48,482 and 65,811

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Solution

The third proportional to 48,482 and 65,811 is: 89,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,482 : 65,811 = 65,811 : x
  2. Step 2: Convert to fraction form
    48,482/65,811 = 65,811/x
  3. Step 3: Cross multiply
    48,482x = 65,811 × 65,811
  4. Step 4: Simplify right side
    48,482x = 4,331,087,721
  5. Step 5: Solve for x
    x = 4,331,087,721/48,482
  6. Step 6: Final answer
    x = 89,333.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.