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Finding the Third Proportional to 2,917.06 and 4,396.69

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Solution

The third proportional to 2,917.06 and 4,396.69 is: 6,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.06 : 4,396.69 = 4,396.69 : x
  2. Step 2: Convert to fraction form
    2,917.06/4,396.69 = 4,396.69/x
  3. Step 3: Cross multiply
    2,917.06x = 4,396.69 × 4,396.69
  4. Step 4: Simplify right side
    2,917.06x = 19,330,860.97
  5. Step 5: Solve for x
    x = 19,330,860.97/2,917.06
  6. Step 6: Final answer
    x = 6,626.82

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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.