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Finding the Third Proportional to 1,447 and 2,821.75

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Solution

The third proportional to 1,447 and 2,821.75 is: 5,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447 : 2,821.75 = 2,821.75 : x
  2. Step 2: Convert to fraction form
    1,447/2,821.75 = 2,821.75/x
  3. Step 3: Cross multiply
    1,447x = 2,821.75 × 2,821.75
  4. Step 4: Simplify right side
    1,447x = 7,962,273.06
  5. Step 5: Solve for x
    x = 7,962,273.06/1,447
  6. Step 6: Final answer
    x = 5,502.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.