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Finding the Third Proportional to 935.46 and 1,422.40

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Solution

The third proportional to 935.46 and 1,422.40 is: 2,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.46 : 1,422.40 = 1,422.40 : x
  2. Step 2: Convert to fraction form
    935.46/1,422.40 = 1,422.40/x
  3. Step 3: Cross multiply
    935.46x = 1,422.40 × 1,422.40
  4. Step 4: Simplify right side
    935.46x = 2,023,233.98
  5. Step 5: Solve for x
    x = 2,023,233.98/935.46
  6. Step 6: Final answer
    x = 2,162.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.