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Finding the Third Proportional to 11,742 and 17,614

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Solution

The third proportional to 11,742 and 17,614 is: 26,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 17,614 = 17,614 : x
  2. Step 2: Convert to fraction form
    11,742/17,614 = 17,614/x
  3. Step 3: Cross multiply
    11,742x = 17,614 × 17,614
  4. Step 4: Simplify right side
    11,742x = 310,252,996
  5. Step 5: Solve for x
    x = 310,252,996/11,742
  6. Step 6: Final answer
    x = 26,422.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.