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Finding the Third Proportional to 12,234.80 and 26,716.71

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Solution

The third proportional to 12,234.80 and 26,716.71 is: 58,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.80 : 26,716.71 = 26,716.71 : x
  2. Step 2: Convert to fraction form
    12,234.80/26,716.71 = 26,716.71/x
  3. Step 3: Cross multiply
    12,234.80x = 26,716.71 × 26,716.71
  4. Step 4: Simplify right side
    12,234.80x = 713,782,643.32
  5. Step 5: Solve for x
    x = 713,782,643.32/12,234.80
  6. Step 6: Final answer
    x = 58,340.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.