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Finding the Third Proportional to 845.06 and 1,286.81

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Solution

The third proportional to 845.06 and 1,286.81 is: 1,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.06 : 1,286.81 = 1,286.81 : x
  2. Step 2: Convert to fraction form
    845.06/1,286.81 = 1,286.81/x
  3. Step 3: Cross multiply
    845.06x = 1,286.81 × 1,286.81
  4. Step 4: Simplify right side
    845.06x = 1,655,886.41
  5. Step 5: Solve for x
    x = 1,655,886.41/845.06
  6. Step 6: Final answer
    x = 1,959.48

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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.