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Finding the Third Proportional to 752.41 and 1,812.59

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Solution

The third proportional to 752.41 and 1,812.59 is: 4,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.41 : 1,812.59 = 1,812.59 : x
  2. Step 2: Convert to fraction form
    752.41/1,812.59 = 1,812.59/x
  3. Step 3: Cross multiply
    752.41x = 1,812.59 × 1,812.59
  4. Step 4: Simplify right side
    752.41x = 3,285,467.78
  5. Step 5: Solve for x
    x = 3,285,467.78/752.41
  6. Step 6: Final answer
    x = 4,366.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.