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Finding the Third Proportional to 5,787 and 7,890.75

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Solution

The third proportional to 5,787 and 7,890.75 is: 10,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 7,890.75 = 7,890.75 : x
  2. Step 2: Convert to fraction form
    5,787/7,890.75 = 7,890.75/x
  3. Step 3: Cross multiply
    5,787x = 7,890.75 × 7,890.75
  4. Step 4: Simplify right side
    5,787x = 62,263,935.56
  5. Step 5: Solve for x
    x = 62,263,935.56/5,787
  6. Step 6: Final answer
    x = 10,759.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.