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Finding the Third Proportional to 12,232.58 and 26,797.39

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Solution

The third proportional to 12,232.58 and 26,797.39 is: 58,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.58 : 26,797.39 = 26,797.39 : x
  2. Step 2: Convert to fraction form
    12,232.58/26,797.39 = 26,797.39/x
  3. Step 3: Cross multiply
    12,232.58x = 26,797.39 × 26,797.39
  4. Step 4: Simplify right side
    12,232.58x = 718,100,353.66
  5. Step 5: Solve for x
    x = 718,100,353.66/12,232.58
  6. Step 6: Final answer
    x = 58,703.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.