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Finding the Third Proportional to 11,269.13 and 17,452.13

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Solution

The third proportional to 11,269.13 and 17,452.13 is: 27,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.13 : 17,452.13 = 17,452.13 : x
  2. Step 2: Convert to fraction form
    11,269.13/17,452.13 = 17,452.13/x
  3. Step 3: Cross multiply
    11,269.13x = 17,452.13 × 17,452.13
  4. Step 4: Simplify right side
    11,269.13x = 304,576,667.02
  5. Step 5: Solve for x
    x = 304,576,667.02/11,269.13
  6. Step 6: Final answer
    x = 27,027.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.