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Finding the Third Proportional to 3,864.38 and 9,264.94

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Solution

The third proportional to 3,864.38 and 9,264.94 is: 22,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.38 : 9,264.94 = 9,264.94 : x
  2. Step 2: Convert to fraction form
    3,864.38/9,264.94 = 9,264.94/x
  3. Step 3: Cross multiply
    3,864.38x = 9,264.94 × 9,264.94
  4. Step 4: Simplify right side
    3,864.38x = 85,839,066.88
  5. Step 5: Solve for x
    x = 85,839,066.88/3,864.38
  6. Step 6: Final answer
    x = 22,212.92

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.