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Finding the Third Proportional to 3,486.24 and 5,311.12

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Solution

The third proportional to 3,486.24 and 5,311.12 is: 8,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.24 : 5,311.12 = 5,311.12 : x
  2. Step 2: Convert to fraction form
    3,486.24/5,311.12 = 5,311.12/x
  3. Step 3: Cross multiply
    3,486.24x = 5,311.12 × 5,311.12
  4. Step 4: Simplify right side
    3,486.24x = 28,207,955.41
  5. Step 5: Solve for x
    x = 28,207,955.41/3,486.24
  6. Step 6: Final answer
    x = 8,091.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.