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Finding the Third Proportional to 39,386 and 62,631

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Solution

The third proportional to 39,386 and 62,631 is: 99,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,386 : 62,631 = 62,631 : x
  2. Step 2: Convert to fraction form
    39,386/62,631 = 62,631/x
  3. Step 3: Cross multiply
    39,386x = 62,631 × 62,631
  4. Step 4: Simplify right side
    39,386x = 3,922,642,161
  5. Step 5: Solve for x
    x = 3,922,642,161/39,386
  6. Step 6: Final answer
    x = 99,594.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.