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Finding the Third Proportional to 2,112.93 and 3,284.58

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Solution

The third proportional to 2,112.93 and 3,284.58 is: 5,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.93 : 3,284.58 = 3,284.58 : x
  2. Step 2: Convert to fraction form
    2,112.93/3,284.58 = 3,284.58/x
  3. Step 3: Cross multiply
    2,112.93x = 3,284.58 × 3,284.58
  4. Step 4: Simplify right side
    2,112.93x = 10,788,453.46
  5. Step 5: Solve for x
    x = 10,788,453.46/2,112.93
  6. Step 6: Final answer
    x = 5,105.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.