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Finding the Third Proportional to 12,619.20 and 19,798.56

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Solution

The third proportional to 12,619.20 and 19,798.56 is: 31,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.20 : 19,798.56 = 19,798.56 : x
  2. Step 2: Convert to fraction form
    12,619.20/19,798.56 = 19,798.56/x
  3. Step 3: Cross multiply
    12,619.20x = 19,798.56 × 19,798.56
  4. Step 4: Simplify right side
    12,619.20x = 391,982,922.39
  5. Step 5: Solve for x
    x = 391,982,922.39/12,619.20
  6. Step 6: Final answer
    x = 31,062.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.