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Finding the Third Proportional to 5,286.52 and 11,484.28

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Solution

The third proportional to 5,286.52 and 11,484.28 is: 24,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.52 : 11,484.28 = 11,484.28 : x
  2. Step 2: Convert to fraction form
    5,286.52/11,484.28 = 11,484.28/x
  3. Step 3: Cross multiply
    5,286.52x = 11,484.28 × 11,484.28
  4. Step 4: Simplify right side
    5,286.52x = 131,888,715.83
  5. Step 5: Solve for x
    x = 131,888,715.83/5,286.52
  6. Step 6: Final answer
    x = 24,948.14

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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.