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Finding the Third Proportional to 5,278.50 and 11,372.06

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Solution

The third proportional to 5,278.50 and 11,372.06 is: 24,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.50 : 11,372.06 = 11,372.06 : x
  2. Step 2: Convert to fraction form
    5,278.50/11,372.06 = 11,372.06/x
  3. Step 3: Cross multiply
    5,278.50x = 11,372.06 × 11,372.06
  4. Step 4: Simplify right side
    5,278.50x = 129,323,805.50
  5. Step 5: Solve for x
    x = 129,323,805.50/5,278.50
  6. Step 6: Final answer
    x = 24,500.11

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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.