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Finding the Third Proportional to 891.42 and 1,422.42

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Solution

The third proportional to 891.42 and 1,422.42 is: 2,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.42 : 1,422.42 = 1,422.42 : x
  2. Step 2: Convert to fraction form
    891.42/1,422.42 = 1,422.42/x
  3. Step 3: Cross multiply
    891.42x = 1,422.42 × 1,422.42
  4. Step 4: Simplify right side
    891.42x = 2,023,283.99
  5. Step 5: Solve for x
    x = 2,023,283.99/891.42
  6. Step 6: Final answer
    x = 2,269.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.