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Finding the Third Proportional to 5,279.34 and 11,371.22

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Solution

The third proportional to 5,279.34 and 11,371.22 is: 24,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.34 : 11,371.22 = 11,371.22 : x
  2. Step 2: Convert to fraction form
    5,279.34/11,371.22 = 11,371.22/x
  3. Step 3: Cross multiply
    5,279.34x = 11,371.22 × 11,371.22
  4. Step 4: Simplify right side
    5,279.34x = 129,304,615.86
  5. Step 5: Solve for x
    x = 129,304,615.86/5,279.34
  6. Step 6: Final answer
    x = 24,492.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.