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Finding the Third Proportional to 937.69 and 1,507.97

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Solution

The third proportional to 937.69 and 1,507.97 is: 2,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.69 : 1,507.97 = 1,507.97 : x
  2. Step 2: Convert to fraction form
    937.69/1,507.97 = 1,507.97/x
  3. Step 3: Cross multiply
    937.69x = 1,507.97 × 1,507.97
  4. Step 4: Simplify right side
    937.69x = 2,273,969.75
  5. Step 5: Solve for x
    x = 2,273,969.75/937.69
  6. Step 6: Final answer
    x = 2,425.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.