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Finding the Third Proportional to 13,541 and 21,624

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Solution

The third proportional to 13,541 and 21,624 is: 34,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541 : 21,624 = 21,624 : x
  2. Step 2: Convert to fraction form
    13,541/21,624 = 21,624/x
  3. Step 3: Cross multiply
    13,541x = 21,624 × 21,624
  4. Step 4: Simplify right side
    13,541x = 467,597,376
  5. Step 5: Solve for x
    x = 467,597,376/13,541
  6. Step 6: Final answer
    x = 34,531.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.