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Finding the Third Proportional to 2,112.05 and 3,087.82

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Solution

The third proportional to 2,112.05 and 3,087.82 is: 4,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.05 : 3,087.82 = 3,087.82 : x
  2. Step 2: Convert to fraction form
    2,112.05/3,087.82 = 3,087.82/x
  3. Step 3: Cross multiply
    2,112.05x = 3,087.82 × 3,087.82
  4. Step 4: Simplify right side
    2,112.05x = 9,534,634.28
  5. Step 5: Solve for x
    x = 9,534,634.28/2,112.05
  6. Step 6: Final answer
    x = 4,514.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.