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Finding the Third Proportional to 937.88 and 1,962.14

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Solution

The third proportional to 937.88 and 1,962.14 is: 4,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.88 : 1,962.14 = 1,962.14 : x
  2. Step 2: Convert to fraction form
    937.88/1,962.14 = 1,962.14/x
  3. Step 3: Cross multiply
    937.88x = 1,962.14 × 1,962.14
  4. Step 4: Simplify right side
    937.88x = 3,849,995.83
  5. Step 5: Solve for x
    x = 3,849,995.83/937.88
  6. Step 6: Final answer
    x = 4,105.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.