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Finding the Third Proportional to 12,309.28 and 26,846.44

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Solution

The third proportional to 12,309.28 and 26,846.44 is: 58,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.28 : 26,846.44 = 26,846.44 : x
  2. Step 2: Convert to fraction form
    12,309.28/26,846.44 = 26,846.44/x
  3. Step 3: Cross multiply
    12,309.28x = 26,846.44 × 26,846.44
  4. Step 4: Simplify right side
    12,309.28x = 720,731,206.44
  5. Step 5: Solve for x
    x = 720,731,206.44/12,309.28
  6. Step 6: Final answer
    x = 58,551.85

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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.