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Finding the Third Proportional to 3,826.83 and 5,913.84

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Solution

The third proportional to 3,826.83 and 5,913.84 is: 9,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.83 : 5,913.84 = 5,913.84 : x
  2. Step 2: Convert to fraction form
    3,826.83/5,913.84 = 5,913.84/x
  3. Step 3: Cross multiply
    3,826.83x = 5,913.84 × 5,913.84
  4. Step 4: Simplify right side
    3,826.83x = 34,973,547.90
  5. Step 5: Solve for x
    x = 34,973,547.90/3,826.83
  6. Step 6: Final answer
    x = 9,139.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.