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Finding the Third Proportional to 3,486.38 and 5,347.69

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Solution

The third proportional to 3,486.38 and 5,347.69 is: 8,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.38 : 5,347.69 = 5,347.69 : x
  2. Step 2: Convert to fraction form
    3,486.38/5,347.69 = 5,347.69/x
  3. Step 3: Cross multiply
    3,486.38x = 5,347.69 × 5,347.69
  4. Step 4: Simplify right side
    3,486.38x = 28,597,761.60
  5. Step 5: Solve for x
    x = 28,597,761.60/3,486.38
  6. Step 6: Final answer
    x = 8,202.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.