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Finding the Third Proportional to 2,754.84 and 3,669.89

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Solution

The third proportional to 2,754.84 and 3,669.89 is: 4,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.84 : 3,669.89 = 3,669.89 : x
  2. Step 2: Convert to fraction form
    2,754.84/3,669.89 = 3,669.89/x
  3. Step 3: Cross multiply
    2,754.84x = 3,669.89 × 3,669.89
  4. Step 4: Simplify right side
    2,754.84x = 13,468,097.20
  5. Step 5: Solve for x
    x = 13,468,097.20/2,754.84
  6. Step 6: Final answer
    x = 4,888.88

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.