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Finding the Third Proportional to 27,787 and 41,683

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Solution

The third proportional to 27,787 and 41,683 is: 62,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787 : 41,683 = 41,683 : x
  2. Step 2: Convert to fraction form
    27,787/41,683 = 41,683/x
  3. Step 3: Cross multiply
    27,787x = 41,683 × 41,683
  4. Step 4: Simplify right side
    27,787x = 1,737,472,489
  5. Step 5: Solve for x
    x = 1,737,472,489/27,787
  6. Step 6: Final answer
    x = 62,528.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.