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Finding the Third Proportional to 3,635.16 and 5,429.95

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Solution

The third proportional to 3,635.16 and 5,429.95 is: 8,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.16 : 5,429.95 = 5,429.95 : x
  2. Step 2: Convert to fraction form
    3,635.16/5,429.95 = 5,429.95/x
  3. Step 3: Cross multiply
    3,635.16x = 5,429.95 × 5,429.95
  4. Step 4: Simplify right side
    3,635.16x = 29,484,390.94
  5. Step 5: Solve for x
    x = 29,484,390.94/3,635.16
  6. Step 6: Final answer
    x = 8,110.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.