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Finding the Third Proportional to 937.97 and 1,827.84

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Solution

The third proportional to 937.97 and 1,827.84 is: 3,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.97 : 1,827.84 = 1,827.84 : x
  2. Step 2: Convert to fraction form
    937.97/1,827.84 = 1,827.84/x
  3. Step 3: Cross multiply
    937.97x = 1,827.84 × 1,827.84
  4. Step 4: Simplify right side
    937.97x = 3,341,012.77
  5. Step 5: Solve for x
    x = 3,341,012.77/937.97
  6. Step 6: Final answer
    x = 3,561.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.