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Finding the Third Proportional to 27,140 and 55,624

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Solution

The third proportional to 27,140 and 55,624 is: 114,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140 : 55,624 = 55,624 : x
  2. Step 2: Convert to fraction form
    27,140/55,624 = 55,624/x
  3. Step 3: Cross multiply
    27,140x = 55,624 × 55,624
  4. Step 4: Simplify right side
    27,140x = 3,094,029,376
  5. Step 5: Solve for x
    x = 3,094,029,376/27,140
  6. Step 6: Final answer
    x = 114,002.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.