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Finding the Third Proportional to 8,042.25 and 17,720.44

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Solution

The third proportional to 8,042.25 and 17,720.44 is: 39,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.25 : 17,720.44 = 17,720.44 : x
  2. Step 2: Convert to fraction form
    8,042.25/17,720.44 = 17,720.44/x
  3. Step 3: Cross multiply
    8,042.25x = 17,720.44 × 17,720.44
  4. Step 4: Simplify right side
    8,042.25x = 314,013,905.19
  5. Step 5: Solve for x
    x = 314,013,905.19/8,042.25
  6. Step 6: Final answer
    x = 39,045.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.