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Finding the Third Proportional to 12,901.31 and 19,939.05

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Solution

The third proportional to 12,901.31 and 19,939.05 is: 30,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.31 : 19,939.05 = 19,939.05 : x
  2. Step 2: Convert to fraction form
    12,901.31/19,939.05 = 19,939.05/x
  3. Step 3: Cross multiply
    12,901.31x = 19,939.05 × 19,939.05
  4. Step 4: Simplify right side
    12,901.31x = 397,565,785.00
  5. Step 5: Solve for x
    x = 397,565,785.00/12,901.31
  6. Step 6: Final answer
    x = 30,815.93

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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.