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Finding the Third Proportional to 937.19 and 1,335.03

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Solution

The third proportional to 937.19 and 1,335.03 is: 1,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.19 : 1,335.03 = 1,335.03 : x
  2. Step 2: Convert to fraction form
    937.19/1,335.03 = 1,335.03/x
  3. Step 3: Cross multiply
    937.19x = 1,335.03 × 1,335.03
  4. Step 4: Simplify right side
    937.19x = 1,782,308.44
  5. Step 5: Solve for x
    x = 1,782,308.44/937.19
  6. Step 6: Final answer
    x = 1,901.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.