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Finding the Third Proportional to 892.36 and 1,937.86

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Solution

The third proportional to 892.36 and 1,937.86 is: 4,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.36 : 1,937.86 = 1,937.86 : x
  2. Step 2: Convert to fraction form
    892.36/1,937.86 = 1,937.86/x
  3. Step 3: Cross multiply
    892.36x = 1,937.86 × 1,937.86
  4. Step 4: Simplify right side
    892.36x = 3,755,298.96
  5. Step 5: Solve for x
    x = 3,755,298.96/892.36
  6. Step 6: Final answer
    x = 4,208.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.