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Finding the Third Proportional to 937.59 and 2,019.47

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Solution

The third proportional to 937.59 and 2,019.47 is: 4,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.59 : 2,019.47 = 2,019.47 : x
  2. Step 2: Convert to fraction form
    937.59/2,019.47 = 2,019.47/x
  3. Step 3: Cross multiply
    937.59x = 2,019.47 × 2,019.47
  4. Step 4: Simplify right side
    937.59x = 4,078,254.03
  5. Step 5: Solve for x
    x = 4,078,254.03/937.59
  6. Step 6: Final answer
    x = 4,349.70

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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.