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Finding the Third Proportional to 5,327.02 and 11,711.46

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Solution

The third proportional to 5,327.02 and 11,711.46 is: 25,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.02 : 11,711.46 = 11,711.46 : x
  2. Step 2: Convert to fraction form
    5,327.02/11,711.46 = 11,711.46/x
  3. Step 3: Cross multiply
    5,327.02x = 11,711.46 × 11,711.46
  4. Step 4: Simplify right side
    5,327.02x = 137,158,317.29
  5. Step 5: Solve for x
    x = 137,158,317.29/5,327.02
  6. Step 6: Final answer
    x = 25,747.68

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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.