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Finding the Third Proportional to 7,668 and 10,405.13

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Solution

The third proportional to 7,668 and 10,405.13 is: 14,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668 : 10,405.13 = 10,405.13 : x
  2. Step 2: Convert to fraction form
    7,668/10,405.13 = 10,405.13/x
  3. Step 3: Cross multiply
    7,668x = 10,405.13 × 10,405.13
  4. Step 4: Simplify right side
    7,668x = 108,266,626.27
  5. Step 5: Solve for x
    x = 108,266,626.27/7,668
  6. Step 6: Final answer
    x = 14,119.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.