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Finding the Third Proportional to 13,562 and 18,624

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Solution

The third proportional to 13,562 and 18,624 is: 25,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562 : 18,624 = 18,624 : x
  2. Step 2: Convert to fraction form
    13,562/18,624 = 18,624/x
  3. Step 3: Cross multiply
    13,562x = 18,624 × 18,624
  4. Step 4: Simplify right side
    13,562x = 346,853,376
  5. Step 5: Solve for x
    x = 346,853,376/13,562
  6. Step 6: Final answer
    x = 25,575.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.