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Finding the Third Proportional to 46,882 and 62,626

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Solution

The third proportional to 46,882 and 62,626 is: 83,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,882 : 62,626 = 62,626 : x
  2. Step 2: Convert to fraction form
    46,882/62,626 = 62,626/x
  3. Step 3: Cross multiply
    46,882x = 62,626 × 62,626
  4. Step 4: Simplify right side
    46,882x = 3,922,015,876
  5. Step 5: Solve for x
    x = 3,922,015,876/46,882
  6. Step 6: Final answer
    x = 83,657.18

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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.