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Finding the Third Proportional to 3,834.84 and 8,352.28

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Solution

The third proportional to 3,834.84 and 8,352.28 is: 18,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 8,352.28 = 8,352.28 : x
  2. Step 2: Convert to fraction form
    3,834.84/8,352.28 = 8,352.28/x
  3. Step 3: Cross multiply
    3,834.84x = 8,352.28 × 8,352.28
  4. Step 4: Simplify right side
    3,834.84x = 69,760,602.08
  5. Step 5: Solve for x
    x = 69,760,602.08/3,834.84
  6. Step 6: Final answer
    x = 18,191.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.