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Finding the Third Proportional to 9,042.94 and 18,778.88

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Solution

The third proportional to 9,042.94 and 18,778.88 is: 38,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.94 : 18,778.88 = 18,778.88 : x
  2. Step 2: Convert to fraction form
    9,042.94/18,778.88 = 18,778.88/x
  3. Step 3: Cross multiply
    9,042.94x = 18,778.88 × 18,778.88
  4. Step 4: Simplify right side
    9,042.94x = 352,646,146.27
  5. Step 5: Solve for x
    x = 352,646,146.27/9,042.94
  6. Step 6: Final answer
    x = 38,996.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.