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Finding the Third Proportional to 5,050.97 and 11,042.44

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Solution

The third proportional to 5,050.97 and 11,042.44 is: 24,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.97 : 11,042.44 = 11,042.44 : x
  2. Step 2: Convert to fraction form
    5,050.97/11,042.44 = 11,042.44/x
  3. Step 3: Cross multiply
    5,050.97x = 11,042.44 × 11,042.44
  4. Step 4: Simplify right side
    5,050.97x = 121,935,425.94
  5. Step 5: Solve for x
    x = 121,935,425.94/5,050.97
  6. Step 6: Final answer
    x = 24,141.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.