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Finding the Third Proportional to 937.83 and 1,987.88

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Solution

The third proportional to 937.83 and 1,987.88 is: 4,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.83 : 1,987.88 = 1,987.88 : x
  2. Step 2: Convert to fraction form
    937.83/1,987.88 = 1,987.88/x
  3. Step 3: Cross multiply
    937.83x = 1,987.88 × 1,987.88
  4. Step 4: Simplify right side
    937.83x = 3,951,647.02
  5. Step 5: Solve for x
    x = 3,951,647.02/937.83
  6. Step 6: Final answer
    x = 4,213.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.