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Finding the Third Proportional to 34,408.13 and 75,801.66

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Solution

The third proportional to 34,408.13 and 75,801.66 is: 166,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,408.13 : 75,801.66 = 75,801.66 : x
  2. Step 2: Convert to fraction form
    34,408.13/75,801.66 = 75,801.66/x
  3. Step 3: Cross multiply
    34,408.13x = 75,801.66 × 75,801.66
  4. Step 4: Simplify right side
    34,408.13x = 5,745,891,090.24
  5. Step 5: Solve for x
    x = 5,745,891,090.24/34,408.13
  6. Step 6: Final answer
    x = 166,992.28

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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.