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Finding the Third Proportional to 1,074 and 2,324

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Solution

The third proportional to 1,074 and 2,324 is: 5,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074 : 2,324 = 2,324 : x
  2. Step 2: Convert to fraction form
    1,074/2,324 = 2,324/x
  3. Step 3: Cross multiply
    1,074x = 2,324 × 2,324
  4. Step 4: Simplify right side
    1,074x = 5,400,976
  5. Step 5: Solve for x
    x = 5,400,976/1,074
  6. Step 6: Final answer
    x = 5,028.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.