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Finding the Third Proportional to 3,252.66 and 7,865.86

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Solution

The third proportional to 3,252.66 and 7,865.86 is: 19,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.66 : 7,865.86 = 7,865.86 : x
  2. Step 2: Convert to fraction form
    3,252.66/7,865.86 = 7,865.86/x
  3. Step 3: Cross multiply
    3,252.66x = 7,865.86 × 7,865.86
  4. Step 4: Simplify right side
    3,252.66x = 61,871,743.71
  5. Step 5: Solve for x
    x = 61,871,743.71/3,252.66
  6. Step 6: Final answer
    x = 19,021.91

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.