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Finding the Third Proportional to 3,834.84 and 9,754.17

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Solution

The third proportional to 3,834.84 and 9,754.17 is: 24,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 9,754.17 = 9,754.17 : x
  2. Step 2: Convert to fraction form
    3,834.84/9,754.17 = 9,754.17/x
  3. Step 3: Cross multiply
    3,834.84x = 9,754.17 × 9,754.17
  4. Step 4: Simplify right side
    3,834.84x = 95,143,868.97
  5. Step 5: Solve for x
    x = 95,143,868.97/3,834.84
  6. Step 6: Final answer
    x = 24,810.36

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.