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Finding the Third Proportional to 10,614 and 17,595

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Solution

The third proportional to 10,614 and 17,595 is: 29,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 17,595 = 17,595 : x
  2. Step 2: Convert to fraction form
    10,614/17,595 = 17,595/x
  3. Step 3: Cross multiply
    10,614x = 17,595 × 17,595
  4. Step 4: Simplify right side
    10,614x = 309,584,025
  5. Step 5: Solve for x
    x = 309,584,025/10,614
  6. Step 6: Final answer
    x = 29,167.52

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.