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Finding the Third Proportional to 5,856.75 and 9,321.75

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Solution

The third proportional to 5,856.75 and 9,321.75 is: 14,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.75 : 9,321.75 = 9,321.75 : x
  2. Step 2: Convert to fraction form
    5,856.75/9,321.75 = 9,321.75/x
  3. Step 3: Cross multiply
    5,856.75x = 9,321.75 × 9,321.75
  4. Step 4: Simplify right side
    5,856.75x = 86,895,023.06
  5. Step 5: Solve for x
    x = 86,895,023.06/5,856.75
  6. Step 6: Final answer
    x = 14,836.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.