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Finding the Third Proportional to 5,614 and 12,211

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Solution

The third proportional to 5,614 and 12,211 is: 26,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614 : 12,211 = 12,211 : x
  2. Step 2: Convert to fraction form
    5,614/12,211 = 12,211/x
  3. Step 3: Cross multiply
    5,614x = 12,211 × 12,211
  4. Step 4: Simplify right side
    5,614x = 149,108,521
  5. Step 5: Solve for x
    x = 149,108,521/5,614
  6. Step 6: Final answer
    x = 26,560.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.