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Finding the Third Proportional to 937.75 and 2,170.88

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Solution

The third proportional to 937.75 and 2,170.88 is: 5,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.75 : 2,170.88 = 2,170.88 : x
  2. Step 2: Convert to fraction form
    937.75/2,170.88 = 2,170.88/x
  3. Step 3: Cross multiply
    937.75x = 2,170.88 × 2,170.88
  4. Step 4: Simplify right side
    937.75x = 4,712,698.27
  5. Step 5: Solve for x
    x = 4,712,698.27/937.75
  6. Step 6: Final answer
    x = 5,025.54

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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.