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Finding the Third Proportional to 27,868 and 59,624

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Solution

The third proportional to 27,868 and 59,624 is: 127,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868 : 59,624 = 59,624 : x
  2. Step 2: Convert to fraction form
    27,868/59,624 = 59,624/x
  3. Step 3: Cross multiply
    27,868x = 59,624 × 59,624
  4. Step 4: Simplify right side
    27,868x = 3,555,021,376
  5. Step 5: Solve for x
    x = 3,555,021,376/27,868
  6. Step 6: Final answer
    x = 127,566.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.