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Finding the Third Proportional to 988.31 and 2,005.03

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Solution

The third proportional to 988.31 and 2,005.03 is: 4,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.31 : 2,005.03 = 2,005.03 : x
  2. Step 2: Convert to fraction form
    988.31/2,005.03 = 2,005.03/x
  3. Step 3: Cross multiply
    988.31x = 2,005.03 × 2,005.03
  4. Step 4: Simplify right side
    988.31x = 4,020,150.31
  5. Step 5: Solve for x
    x = 4,020,150.31/988.31
  6. Step 6: Final answer
    x = 4,067.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.