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Finding the Third Proportional to 1,998.75 and 3,193.13

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Solution

The third proportional to 1,998.75 and 3,193.13 is: 5,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.75 : 3,193.13 = 3,193.13 : x
  2. Step 2: Convert to fraction form
    1,998.75/3,193.13 = 3,193.13/x
  3. Step 3: Cross multiply
    1,998.75x = 3,193.13 × 3,193.13
  4. Step 4: Simplify right side
    1,998.75x = 10,196,047.27
  5. Step 5: Solve for x
    x = 10,196,047.27/1,998.75
  6. Step 6: Final answer
    x = 5,101.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.