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Finding the Third Proportional to 12,097.13 and 18,217.13

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Solution

The third proportional to 12,097.13 and 18,217.13 is: 27,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.13 : 18,217.13 = 18,217.13 : x
  2. Step 2: Convert to fraction form
    12,097.13/18,217.13 = 18,217.13/x
  3. Step 3: Cross multiply
    12,097.13x = 18,217.13 × 18,217.13
  4. Step 4: Simplify right side
    12,097.13x = 331,863,643.27
  5. Step 5: Solve for x
    x = 331,863,643.27/12,097.13
  6. Step 6: Final answer
    x = 27,433.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.