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Finding the Third Proportional to 850.38 and 1,854.18

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Solution

The third proportional to 850.38 and 1,854.18 is: 4,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.38 : 1,854.18 = 1,854.18 : x
  2. Step 2: Convert to fraction form
    850.38/1,854.18 = 1,854.18/x
  3. Step 3: Cross multiply
    850.38x = 1,854.18 × 1,854.18
  4. Step 4: Simplify right side
    850.38x = 3,437,984.12
  5. Step 5: Solve for x
    x = 3,437,984.12/850.38
  6. Step 6: Final answer
    x = 4,042.87

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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.