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Finding the Third Proportional to 2,066.73 and 3,118.73

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Solution

The third proportional to 2,066.73 and 3,118.73 is: 4,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.73 : 3,118.73 = 3,118.73 : x
  2. Step 2: Convert to fraction form
    2,066.73/3,118.73 = 3,118.73/x
  3. Step 3: Cross multiply
    2,066.73x = 3,118.73 × 3,118.73
  4. Step 4: Simplify right side
    2,066.73x = 9,726,467.55
  5. Step 5: Solve for x
    x = 9,726,467.55/2,066.73
  6. Step 6: Final answer
    x = 4,706.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.