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Finding the Third Proportional to 1,238.25 and 2,864.63

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Solution

The third proportional to 1,238.25 and 2,864.63 is: 6,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.25 : 2,864.63 = 2,864.63 : x
  2. Step 2: Convert to fraction form
    1,238.25/2,864.63 = 2,864.63/x
  3. Step 3: Cross multiply
    1,238.25x = 2,864.63 × 2,864.63
  4. Step 4: Simplify right side
    1,238.25x = 8,206,076.39
  5. Step 5: Solve for x
    x = 8,206,076.39/1,238.25
  6. Step 6: Final answer
    x = 6,627.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.