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Finding the Third Proportional to 3,743.72 and 8,101.69

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Solution

The third proportional to 3,743.72 and 8,101.69 is: 17,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.72 : 8,101.69 = 8,101.69 : x
  2. Step 2: Convert to fraction form
    3,743.72/8,101.69 = 8,101.69/x
  3. Step 3: Cross multiply
    3,743.72x = 8,101.69 × 8,101.69
  4. Step 4: Simplify right side
    3,743.72x = 65,637,340.35
  5. Step 5: Solve for x
    x = 65,637,340.35/3,743.72
  6. Step 6: Final answer
    x = 17,532.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.