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Finding the Third Proportional to 1,272.66 and 1,998.56

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Solution

The third proportional to 1,272.66 and 1,998.56 is: 3,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.66 : 1,998.56 = 1,998.56 : x
  2. Step 2: Convert to fraction form
    1,272.66/1,998.56 = 1,998.56/x
  3. Step 3: Cross multiply
    1,272.66x = 1,998.56 × 1,998.56
  4. Step 4: Simplify right side
    1,272.66x = 3,994,252.07
  5. Step 5: Solve for x
    x = 3,994,252.07/1,272.66
  6. Step 6: Final answer
    x = 3,138.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.