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Finding the Third Proportional to 3,583.13 and 7,601.38

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Solution

The third proportional to 3,583.13 and 7,601.38 is: 16,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.13 : 7,601.38 = 7,601.38 : x
  2. Step 2: Convert to fraction form
    3,583.13/7,601.38 = 7,601.38/x
  3. Step 3: Cross multiply
    3,583.13x = 7,601.38 × 7,601.38
  4. Step 4: Simplify right side
    3,583.13x = 57,780,901.89
  5. Step 5: Solve for x
    x = 57,780,901.89/3,583.13
  6. Step 6: Final answer
    x = 16,125.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.