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Finding the Third Proportional to 35,013.38 and 54,305.44

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Solution

The third proportional to 35,013.38 and 54,305.44 is: 84,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,013.38 : 54,305.44 = 54,305.44 : x
  2. Step 2: Convert to fraction form
    35,013.38/54,305.44 = 54,305.44/x
  3. Step 3: Cross multiply
    35,013.38x = 54,305.44 × 54,305.44
  4. Step 4: Simplify right side
    35,013.38x = 2,949,080,542.07
  5. Step 5: Solve for x
    x = 2,949,080,542.07/35,013.38
  6. Step 6: Final answer
    x = 84,227.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.