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Finding the Third Proportional to 27,147 and 41,527

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Solution

The third proportional to 27,147 and 41,527 is: 63,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147 : 41,527 = 41,527 : x
  2. Step 2: Convert to fraction form
    27,147/41,527 = 41,527/x
  3. Step 3: Cross multiply
    27,147x = 41,527 × 41,527
  4. Step 4: Simplify right side
    27,147x = 1,724,491,729
  5. Step 5: Solve for x
    x = 1,724,491,729/27,147
  6. Step 6: Final answer
    x = 63,524.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.