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Finding the Third Proportional to 782.38 and 1,850.50

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Solution

The third proportional to 782.38 and 1,850.50 is: 4,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.38 : 1,850.50 = 1,850.50 : x
  2. Step 2: Convert to fraction form
    782.38/1,850.50 = 1,850.50/x
  3. Step 3: Cross multiply
    782.38x = 1,850.50 × 1,850.50
  4. Step 4: Simplify right side
    782.38x = 3,424,350.25
  5. Step 5: Solve for x
    x = 3,424,350.25/782.38
  6. Step 6: Final answer
    x = 4,376.87

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.