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Finding the Third Proportional to 1,141.13 and 1,222.13

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Solution

The third proportional to 1,141.13 and 1,222.13 is: 1,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.13 : 1,222.13 = 1,222.13 : x
  2. Step 2: Convert to fraction form
    1,141.13/1,222.13 = 1,222.13/x
  3. Step 3: Cross multiply
    1,141.13x = 1,222.13 × 1,222.13
  4. Step 4: Simplify right side
    1,141.13x = 1,493,589.52
  5. Step 5: Solve for x
    x = 1,493,589.52/1,141.13
  6. Step 6: Final answer
    x = 1,308.87

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.