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Finding the Third Proportional to 17,614 and 38,509

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Solution

The third proportional to 17,614 and 38,509 is: 84,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614 : 38,509 = 38,509 : x
  2. Step 2: Convert to fraction form
    17,614/38,509 = 38,509/x
  3. Step 3: Cross multiply
    17,614x = 38,509 × 38,509
  4. Step 4: Simplify right side
    17,614x = 1,482,943,081
  5. Step 5: Solve for x
    x = 1,482,943,081/17,614
  6. Step 6: Final answer
    x = 84,191.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.