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Finding the Third Proportional to 2,759.91 and 6,066.56

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Solution

The third proportional to 2,759.91 and 6,066.56 is: 13,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.91 : 6,066.56 = 6,066.56 : x
  2. Step 2: Convert to fraction form
    2,759.91/6,066.56 = 6,066.56/x
  3. Step 3: Cross multiply
    2,759.91x = 6,066.56 × 6,066.56
  4. Step 4: Simplify right side
    2,759.91x = 36,803,180.57
  5. Step 5: Solve for x
    x = 36,803,180.57/2,759.91
  6. Step 6: Final answer
    x = 13,334.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.