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Finding the Third Proportional to 9,614 and 20,612

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Solution

The third proportional to 9,614 and 20,612 is: 44,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 20,612 = 20,612 : x
  2. Step 2: Convert to fraction form
    9,614/20,612 = 20,612/x
  3. Step 3: Cross multiply
    9,614x = 20,612 × 20,612
  4. Step 4: Simplify right side
    9,614x = 424,854,544
  5. Step 5: Solve for x
    x = 424,854,544/9,614
  6. Step 6: Final answer
    x = 44,191.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.