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Finding the Third Proportional to 5,567 and 12,107

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Solution

The third proportional to 5,567 and 12,107 is: 26,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567 : 12,107 = 12,107 : x
  2. Step 2: Convert to fraction form
    5,567/12,107 = 12,107/x
  3. Step 3: Cross multiply
    5,567x = 12,107 × 12,107
  4. Step 4: Simplify right side
    5,567x = 146,579,449
  5. Step 5: Solve for x
    x = 146,579,449/5,567
  6. Step 6: Final answer
    x = 26,330.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.