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Finding the Third Proportional to 12,911.56 and 19,951.20

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Solution

The third proportional to 12,911.56 and 19,951.20 is: 30,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.56 : 19,951.20 = 19,951.20 : x
  2. Step 2: Convert to fraction form
    12,911.56/19,951.20 = 19,951.20/x
  3. Step 3: Cross multiply
    12,911.56x = 19,951.20 × 19,951.20
  4. Step 4: Simplify right side
    12,911.56x = 398,050,481.17
  5. Step 5: Solve for x
    x = 398,050,481.17/12,911.56
  6. Step 6: Final answer
    x = 30,828.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.