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Finding the Third Proportional to 12,901.78 and 19,836.56

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Solution

The third proportional to 12,901.78 and 19,836.56 is: 30,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 19,836.56 = 19,836.56 : x
  2. Step 2: Convert to fraction form
    12,901.78/19,836.56 = 19,836.56/x
  3. Step 3: Cross multiply
    12,901.78x = 19,836.56 × 19,836.56
  4. Step 4: Simplify right side
    12,901.78x = 393,489,211.82
  5. Step 5: Solve for x
    x = 393,489,211.82/12,901.78
  6. Step 6: Final answer
    x = 30,498.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.