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Finding the Third Proportional to 31,531 and 48,482

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Solution

The third proportional to 31,531 and 48,482 is: 74,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531 : 48,482 = 48,482 : x
  2. Step 2: Convert to fraction form
    31,531/48,482 = 48,482/x
  3. Step 3: Cross multiply
    31,531x = 48,482 × 48,482
  4. Step 4: Simplify right side
    31,531x = 2,350,504,324
  5. Step 5: Solve for x
    x = 2,350,504,324/31,531
  6. Step 6: Final answer
    x = 74,545.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.