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Finding the Third Proportional to 27,137 and 40,654

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Solution

The third proportional to 27,137 and 40,654 is: 60,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137 : 40,654 = 40,654 : x
  2. Step 2: Convert to fraction form
    27,137/40,654 = 40,654/x
  3. Step 3: Cross multiply
    27,137x = 40,654 × 40,654
  4. Step 4: Simplify right side
    27,137x = 1,652,747,716
  5. Step 5: Solve for x
    x = 1,652,747,716/27,137
  6. Step 6: Final answer
    x = 60,903.85

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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.