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Finding the Third Proportional to 937.83 and 2,011.71

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Solution

The third proportional to 937.83 and 2,011.71 is: 4,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.83 : 2,011.71 = 2,011.71 : x
  2. Step 2: Convert to fraction form
    937.83/2,011.71 = 2,011.71/x
  3. Step 3: Cross multiply
    937.83x = 2,011.71 × 2,011.71
  4. Step 4: Simplify right side
    937.83x = 4,046,980.90
  5. Step 5: Solve for x
    x = 4,046,980.90/937.83
  6. Step 6: Final answer
    x = 4,315.27

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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.