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Finding the Third Proportional to 12,178.97 and 26,170.88

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Solution

The third proportional to 12,178.97 and 26,170.88 is: 56,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.97 : 26,170.88 = 26,170.88 : x
  2. Step 2: Convert to fraction form
    12,178.97/26,170.88 = 26,170.88/x
  3. Step 3: Cross multiply
    12,178.97x = 26,170.88 × 26,170.88
  4. Step 4: Simplify right side
    12,178.97x = 684,914,698.27
  5. Step 5: Solve for x
    x = 684,914,698.27/12,178.97
  6. Step 6: Final answer
    x = 56,237.50

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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.