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Finding the Third Proportional to 5,765.39 and 8,648.16

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Solution

The third proportional to 5,765.39 and 8,648.16 is: 12,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.39 : 8,648.16 = 8,648.16 : x
  2. Step 2: Convert to fraction form
    5,765.39/8,648.16 = 8,648.16/x
  3. Step 3: Cross multiply
    5,765.39x = 8,648.16 × 8,648.16
  4. Step 4: Simplify right side
    5,765.39x = 74,790,606.52
  5. Step 5: Solve for x
    x = 74,790,606.52/5,765.39
  6. Step 6: Final answer
    x = 12,972.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.