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Finding the Third Proportional to 7,462.13 and 11,022.33

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Solution

The third proportional to 7,462.13 and 11,022.33 is: 16,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.13 : 11,022.33 = 11,022.33 : x
  2. Step 2: Convert to fraction form
    7,462.13/11,022.33 = 11,022.33/x
  3. Step 3: Cross multiply
    7,462.13x = 11,022.33 × 11,022.33
  4. Step 4: Simplify right side
    7,462.13x = 121,491,717.30
  5. Step 5: Solve for x
    x = 121,491,717.30/7,462.13
  6. Step 6: Final answer
    x = 16,281.12

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Why These Related Problems?

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