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Finding the Third Proportional to 3,747.52 and 5,484.59

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Solution

The third proportional to 3,747.52 and 5,484.59 is: 8,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.52 : 5,484.59 = 5,484.59 : x
  2. Step 2: Convert to fraction form
    3,747.52/5,484.59 = 5,484.59/x
  3. Step 3: Cross multiply
    3,747.52x = 5,484.59 × 5,484.59
  4. Step 4: Simplify right side
    3,747.52x = 30,080,682.91
  5. Step 5: Solve for x
    x = 30,080,682.91/3,747.52
  6. Step 6: Final answer
    x = 8,026.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.