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Finding the Third Proportional to 5,933.25 and 8,687.25

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Solution

The third proportional to 5,933.25 and 8,687.25 is: 12,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.25 : 8,687.25 = 8,687.25 : x
  2. Step 2: Convert to fraction form
    5,933.25/8,687.25 = 8,687.25/x
  3. Step 3: Cross multiply
    5,933.25x = 8,687.25 × 8,687.25
  4. Step 4: Simplify right side
    5,933.25x = 75,468,312.56
  5. Step 5: Solve for x
    x = 75,468,312.56/5,933.25
  6. Step 6: Final answer
    x = 12,719.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.