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Finding the Third Proportional to 5,937 and 12,767.25

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Solution

The third proportional to 5,937 and 12,767.25 is: 27,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937 : 12,767.25 = 12,767.25 : x
  2. Step 2: Convert to fraction form
    5,937/12,767.25 = 12,767.25/x
  3. Step 3: Cross multiply
    5,937x = 12,767.25 × 12,767.25
  4. Step 4: Simplify right side
    5,937x = 163,002,672.56
  5. Step 5: Solve for x
    x = 163,002,672.56/5,937
  6. Step 6: Final answer
    x = 27,455.39

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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.