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Finding the Third Proportional to 1,865.53 and 2,823.61

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Solution

The third proportional to 1,865.53 and 2,823.61 is: 4,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.53 : 2,823.61 = 2,823.61 : x
  2. Step 2: Convert to fraction form
    1,865.53/2,823.61 = 2,823.61/x
  3. Step 3: Cross multiply
    1,865.53x = 2,823.61 × 2,823.61
  4. Step 4: Simplify right side
    1,865.53x = 7,972,769.90
  5. Step 5: Solve for x
    x = 7,972,769.90/1,865.53
  6. Step 6: Final answer
    x = 4,273.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.