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Finding the Third Proportional to 3,029.91 and 4,091.77

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Solution

The third proportional to 3,029.91 and 4,091.77 is: 5,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.91 : 4,091.77 = 4,091.77 : x
  2. Step 2: Convert to fraction form
    3,029.91/4,091.77 = 4,091.77/x
  3. Step 3: Cross multiply
    3,029.91x = 4,091.77 × 4,091.77
  4. Step 4: Simplify right side
    3,029.91x = 16,742,545.93
  5. Step 5: Solve for x
    x = 16,742,545.93/3,029.91
  6. Step 6: Final answer
    x = 5,525.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.