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Finding the Third Proportional to 1,833.53 and 2,758.84

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Solution

The third proportional to 1,833.53 and 2,758.84 is: 4,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.53 : 2,758.84 = 2,758.84 : x
  2. Step 2: Convert to fraction form
    1,833.53/2,758.84 = 2,758.84/x
  3. Step 3: Cross multiply
    1,833.53x = 2,758.84 × 2,758.84
  4. Step 4: Simplify right side
    1,833.53x = 7,611,225.57
  5. Step 5: Solve for x
    x = 7,611,225.57/1,833.53
  6. Step 6: Final answer
    x = 4,151.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.