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Finding the Third Proportional to 3,522.55 and 7,601.82

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Solution

The third proportional to 3,522.55 and 7,601.82 is: 16,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.55 : 7,601.82 = 7,601.82 : x
  2. Step 2: Convert to fraction form
    3,522.55/7,601.82 = 7,601.82/x
  3. Step 3: Cross multiply
    3,522.55x = 7,601.82 × 7,601.82
  4. Step 4: Simplify right side
    3,522.55x = 57,787,642.37
  5. Step 5: Solve for x
    x = 57,787,642.37/3,522.55
  6. Step 6: Final answer
    x = 16,405.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.