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Finding the Third Proportional to 2,611.13 and 3,774.75

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Solution

The third proportional to 2,611.13 and 3,774.75 is: 5,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.13 : 3,774.75 = 3,774.75 : x
  2. Step 2: Convert to fraction form
    2,611.13/3,774.75 = 3,774.75/x
  3. Step 3: Cross multiply
    2,611.13x = 3,774.75 × 3,774.75
  4. Step 4: Simplify right side
    2,611.13x = 14,248,737.56
  5. Step 5: Solve for x
    x = 14,248,737.56/2,611.13
  6. Step 6: Final answer
    x = 5,456.93

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.