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Finding the Third Proportional to 901.31 and 1,998.38

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Solution

The third proportional to 901.31 and 1,998.38 is: 4,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.31 : 1,998.38 = 1,998.38 : x
  2. Step 2: Convert to fraction form
    901.31/1,998.38 = 1,998.38/x
  3. Step 3: Cross multiply
    901.31x = 1,998.38 × 1,998.38
  4. Step 4: Simplify right side
    901.31x = 3,993,502.64
  5. Step 5: Solve for x
    x = 3,993,502.64/901.31
  6. Step 6: Final answer
    x = 4,430.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.