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Finding the Third Proportional to 17,614 and 24,153

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Solution

The third proportional to 17,614 and 24,153 is: 33,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614 : 24,153 = 24,153 : x
  2. Step 2: Convert to fraction form
    17,614/24,153 = 24,153/x
  3. Step 3: Cross multiply
    17,614x = 24,153 × 24,153
  4. Step 4: Simplify right side
    17,614x = 583,367,409
  5. Step 5: Solve for x
    x = 583,367,409/17,614
  6. Step 6: Final answer
    x = 33,119.53

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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.