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Finding the Third Proportional to 12,393.56 and 19,951.31

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Solution

The third proportional to 12,393.56 and 19,951.31 is: 32,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.56 : 19,951.31 = 19,951.31 : x
  2. Step 2: Convert to fraction form
    12,393.56/19,951.31 = 19,951.31/x
  3. Step 3: Cross multiply
    12,393.56x = 19,951.31 × 19,951.31
  4. Step 4: Simplify right side
    12,393.56x = 398,054,870.47
  5. Step 5: Solve for x
    x = 398,054,870.47/12,393.56
  6. Step 6: Final answer
    x = 32,117.87

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.