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Finding the Third Proportional to 5,286.75 and 8,370.75

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Solution

The third proportional to 5,286.75 and 8,370.75 is: 13,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.75 : 8,370.75 = 8,370.75 : x
  2. Step 2: Convert to fraction form
    5,286.75/8,370.75 = 8,370.75/x
  3. Step 3: Cross multiply
    5,286.75x = 8,370.75 × 8,370.75
  4. Step 4: Simplify right side
    5,286.75x = 70,069,455.56
  5. Step 5: Solve for x
    x = 70,069,455.56/5,286.75
  6. Step 6: Final answer
    x = 13,253.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.