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Finding the Third Proportional to 27,209 and 41,624

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Solution

The third proportional to 27,209 and 41,624 is: 63,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209 : 41,624 = 41,624 : x
  2. Step 2: Convert to fraction form
    27,209/41,624 = 41,624/x
  3. Step 3: Cross multiply
    27,209x = 41,624 × 41,624
  4. Step 4: Simplify right side
    27,209x = 1,732,557,376
  5. Step 5: Solve for x
    x = 1,732,557,376/27,209
  6. Step 6: Final answer
    x = 63,675.89

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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.