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Finding the Third Proportional to 5,475.52 and 11,634.47

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Solution

The third proportional to 5,475.52 and 11,634.47 is: 24,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.52 : 11,634.47 = 11,634.47 : x
  2. Step 2: Convert to fraction form
    5,475.52/11,634.47 = 11,634.47/x
  3. Step 3: Cross multiply
    5,475.52x = 11,634.47 × 11,634.47
  4. Step 4: Simplify right side
    5,475.52x = 135,360,863.09
  5. Step 5: Solve for x
    x = 135,360,863.09/5,475.52
  6. Step 6: Final answer
    x = 24,721.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.