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Finding the Third Proportional to 3,732.75 and 5,513.91

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Solution

The third proportional to 3,732.75 and 5,513.91 is: 8,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.75 : 5,513.91 = 5,513.91 : x
  2. Step 2: Convert to fraction form
    3,732.75/5,513.91 = 5,513.91/x
  3. Step 3: Cross multiply
    3,732.75x = 5,513.91 × 5,513.91
  4. Step 4: Simplify right side
    3,732.75x = 30,403,162.13
  5. Step 5: Solve for x
    x = 30,403,162.13/3,732.75
  6. Step 6: Final answer
    x = 8,144.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.