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Finding the Third Proportional to 12,165.19 and 17,956.69

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Solution

The third proportional to 12,165.19 and 17,956.69 is: 26,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 17,956.69 = 17,956.69 : x
  2. Step 2: Convert to fraction form
    12,165.19/17,956.69 = 17,956.69/x
  3. Step 3: Cross multiply
    12,165.19x = 17,956.69 × 17,956.69
  4. Step 4: Simplify right side
    12,165.19x = 322,442,625.97
  5. Step 5: Solve for x
    x = 322,442,625.97/12,165.19
  6. Step 6: Final answer
    x = 26,505.36

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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.