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Finding the Third Proportional to 27,114 and 40,747

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Solution

The third proportional to 27,114 and 40,747 is: 61,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114 : 40,747 = 40,747 : x
  2. Step 2: Convert to fraction form
    27,114/40,747 = 40,747/x
  3. Step 3: Cross multiply
    27,114x = 40,747 × 40,747
  4. Step 4: Simplify right side
    27,114x = 1,660,318,009
  5. Step 5: Solve for x
    x = 1,660,318,009/27,114
  6. Step 6: Final answer
    x = 61,234.71

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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.