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Finding the Third Proportional to 5,426.16 and 8,197.03

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Solution

The third proportional to 5,426.16 and 8,197.03 is: 12,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.16 : 8,197.03 = 8,197.03 : x
  2. Step 2: Convert to fraction form
    5,426.16/8,197.03 = 8,197.03/x
  3. Step 3: Cross multiply
    5,426.16x = 8,197.03 × 8,197.03
  4. Step 4: Simplify right side
    5,426.16x = 67,191,321.31
  5. Step 5: Solve for x
    x = 67,191,321.31/5,426.16
  6. Step 6: Final answer
    x = 12,382.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.