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Finding the Third Proportional to 1,183.68 and 1,752.57

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Solution

The third proportional to 1,183.68 and 1,752.57 is: 2,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.68 : 1,752.57 = 1,752.57 : x
  2. Step 2: Convert to fraction form
    1,183.68/1,752.57 = 1,752.57/x
  3. Step 3: Cross multiply
    1,183.68x = 1,752.57 × 1,752.57
  4. Step 4: Simplify right side
    1,183.68x = 3,071,516.39
  5. Step 5: Solve for x
    x = 3,071,516.39/1,183.68
  6. Step 6: Final answer
    x = 2,594.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.