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Finding the Third Proportional to 1,839.38 and 4,340.25

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Solution

The third proportional to 1,839.38 and 4,340.25 is: 10,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.38 : 4,340.25 = 4,340.25 : x
  2. Step 2: Convert to fraction form
    1,839.38/4,340.25 = 4,340.25/x
  3. Step 3: Cross multiply
    1,839.38x = 4,340.25 × 4,340.25
  4. Step 4: Simplify right side
    1,839.38x = 18,837,770.06
  5. Step 5: Solve for x
    x = 18,837,770.06/1,839.38
  6. Step 6: Final answer
    x = 10,241.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.