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Finding the Third Proportional to 9,406.13 and 11,395.69

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Solution

The third proportional to 9,406.13 and 11,395.69 is: 13,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.13 : 11,395.69 = 11,395.69 : x
  2. Step 2: Convert to fraction form
    9,406.13/11,395.69 = 11,395.69/x
  3. Step 3: Cross multiply
    9,406.13x = 11,395.69 × 11,395.69
  4. Step 4: Simplify right side
    9,406.13x = 129,861,693.60
  5. Step 5: Solve for x
    x = 129,861,693.60/9,406.13
  6. Step 6: Final answer
    x = 13,806.08

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.