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Finding the Third Proportional to 986.06 and 2,327.91

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Solution

The third proportional to 986.06 and 2,327.91 is: 5,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.06 : 2,327.91 = 2,327.91 : x
  2. Step 2: Convert to fraction form
    986.06/2,327.91 = 2,327.91/x
  3. Step 3: Cross multiply
    986.06x = 2,327.91 × 2,327.91
  4. Step 4: Simplify right side
    986.06x = 5,419,147.51
  5. Step 5: Solve for x
    x = 5,419,147.51/986.06
  6. Step 6: Final answer
    x = 5,495.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.