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Finding the Third Proportional to 3,459.38 and 5,192.44

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Solution

The third proportional to 3,459.38 and 5,192.44 is: 7,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.38 : 5,192.44 = 5,192.44 : x
  2. Step 2: Convert to fraction form
    3,459.38/5,192.44 = 5,192.44/x
  3. Step 3: Cross multiply
    3,459.38x = 5,192.44 × 5,192.44
  4. Step 4: Simplify right side
    3,459.38x = 26,961,407.19
  5. Step 5: Solve for x
    x = 26,961,407.19/3,459.38
  6. Step 6: Final answer
    x = 7,793.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.