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Finding the Third Proportional to 12,043.69 and 19,948.78

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Solution

The third proportional to 12,043.69 and 19,948.78 is: 33,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.69 : 19,948.78 = 19,948.78 : x
  2. Step 2: Convert to fraction form
    12,043.69/19,948.78 = 19,948.78/x
  3. Step 3: Cross multiply
    12,043.69x = 19,948.78 × 19,948.78
  4. Step 4: Simplify right side
    12,043.69x = 397,953,873.36
  5. Step 5: Solve for x
    x = 397,953,873.36/12,043.69
  6. Step 6: Final answer
    x = 33,042.53

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.