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Finding the Third Proportional to 752.41 and 1,269.11

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Solution

The third proportional to 752.41 and 1,269.11 is: 2,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.41 : 1,269.11 = 1,269.11 : x
  2. Step 2: Convert to fraction form
    752.41/1,269.11 = 1,269.11/x
  3. Step 3: Cross multiply
    752.41x = 1,269.11 × 1,269.11
  4. Step 4: Simplify right side
    752.41x = 1,610,628.69
  5. Step 5: Solve for x
    x = 1,610,628.69/752.41
  6. Step 6: Final answer
    x = 2,140.61

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.