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Finding the Third Proportional to 2,810.75 and 4,225.38

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Solution

The third proportional to 2,810.75 and 4,225.38 is: 6,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.75 : 4,225.38 = 4,225.38 : x
  2. Step 2: Convert to fraction form
    2,810.75/4,225.38 = 4,225.38/x
  3. Step 3: Cross multiply
    2,810.75x = 4,225.38 × 4,225.38
  4. Step 4: Simplify right side
    2,810.75x = 17,853,793.89
  5. Step 5: Solve for x
    x = 17,853,793.89/2,810.75
  6. Step 6: Final answer
    x = 6,351.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.