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Finding the Third Proportional to 1,834.13 and 2,759.91

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Solution

The third proportional to 1,834.13 and 2,759.91 is: 4,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.13 : 2,759.91 = 2,759.91 : x
  2. Step 2: Convert to fraction form
    1,834.13/2,759.91 = 2,759.91/x
  3. Step 3: Cross multiply
    1,834.13x = 2,759.91 × 2,759.91
  4. Step 4: Simplify right side
    1,834.13x = 7,617,082.51
  5. Step 5: Solve for x
    x = 7,617,082.51/1,834.13
  6. Step 6: Final answer
    x = 4,152.98

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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.