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Finding the Third Proportional to 851.44 and 1,141.92

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Solution

The third proportional to 851.44 and 1,141.92 is: 1,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.44 : 1,141.92 = 1,141.92 : x
  2. Step 2: Convert to fraction form
    851.44/1,141.92 = 1,141.92/x
  3. Step 3: Cross multiply
    851.44x = 1,141.92 × 1,141.92
  4. Step 4: Simplify right side
    851.44x = 1,303,985.57
  5. Step 5: Solve for x
    x = 1,303,985.57/851.44
  6. Step 6: Final answer
    x = 1,531.51

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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.