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Finding the Third Proportional to 937.97 and 1,258.73

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Solution

The third proportional to 937.97 and 1,258.73 is: 1,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.97 : 1,258.73 = 1,258.73 : x
  2. Step 2: Convert to fraction form
    937.97/1,258.73 = 1,258.73/x
  3. Step 3: Cross multiply
    937.97x = 1,258.73 × 1,258.73
  4. Step 4: Simplify right side
    937.97x = 1,584,412.23
  5. Step 5: Solve for x
    x = 1,584,412.23/937.97
  6. Step 6: Final answer
    x = 1,689.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.