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Finding the Third Proportional to 12,171.94 and 26,191.69

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Solution

The third proportional to 12,171.94 and 26,191.69 is: 56,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.94 : 26,191.69 = 26,191.69 : x
  2. Step 2: Convert to fraction form
    12,171.94/26,191.69 = 26,191.69/x
  3. Step 3: Cross multiply
    12,171.94x = 26,191.69 × 26,191.69
  4. Step 4: Simplify right side
    12,171.94x = 686,004,494.10
  5. Step 5: Solve for x
    x = 686,004,494.10/12,171.94
  6. Step 6: Final answer
    x = 56,359.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.