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Finding the Third Proportional to 1,344.16 and 2,894.31

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Solution

The third proportional to 1,344.16 and 2,894.31 is: 6,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.16 : 2,894.31 = 2,894.31 : x
  2. Step 2: Convert to fraction form
    1,344.16/2,894.31 = 2,894.31/x
  3. Step 3: Cross multiply
    1,344.16x = 2,894.31 × 2,894.31
  4. Step 4: Simplify right side
    1,344.16x = 8,377,022.24
  5. Step 5: Solve for x
    x = 8,377,022.24/1,344.16
  6. Step 6: Final answer
    x = 6,232.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.