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Finding the Third Proportional to 4,132.13 and 8,668.13

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Solution

The third proportional to 4,132.13 and 8,668.13 is: 18,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.13 : 8,668.13 = 8,668.13 : x
  2. Step 2: Convert to fraction form
    4,132.13/8,668.13 = 8,668.13/x
  3. Step 3: Cross multiply
    4,132.13x = 8,668.13 × 8,668.13
  4. Step 4: Simplify right side
    4,132.13x = 75,136,391.02
  5. Step 5: Solve for x
    x = 75,136,391.02/4,132.13
  6. Step 6: Final answer
    x = 18,183.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.