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Finding the Third Proportional to 5,687.63 and 8,712.75

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Solution

The third proportional to 5,687.63 and 8,712.75 is: 13,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.63 : 8,712.75 = 8,712.75 : x
  2. Step 2: Convert to fraction form
    5,687.63/8,712.75 = 8,712.75/x
  3. Step 3: Cross multiply
    5,687.63x = 8,712.75 × 8,712.75
  4. Step 4: Simplify right side
    5,687.63x = 75,912,012.56
  5. Step 5: Solve for x
    x = 75,912,012.56/5,687.63
  6. Step 6: Final answer
    x = 13,346.87

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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.