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Finding the Third Proportional to 5,306 and 11,672

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Solution

The third proportional to 5,306 and 11,672 is: 25,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 11,672 = 11,672 : x
  2. Step 2: Convert to fraction form
    5,306/11,672 = 11,672/x
  3. Step 3: Cross multiply
    5,306x = 11,672 × 11,672
  4. Step 4: Simplify right side
    5,306x = 136,235,584
  5. Step 5: Solve for x
    x = 136,235,584/5,306
  6. Step 6: Final answer
    x = 25,675.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.