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Finding the Third Proportional to 3,653.91 and 7,850.81

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Solution

The third proportional to 3,653.91 and 7,850.81 is: 16,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.91 : 7,850.81 = 7,850.81 : x
  2. Step 2: Convert to fraction form
    3,653.91/7,850.81 = 7,850.81/x
  3. Step 3: Cross multiply
    3,653.91x = 7,850.81 × 7,850.81
  4. Step 4: Simplify right side
    3,653.91x = 61,635,256.91
  5. Step 5: Solve for x
    x = 61,635,256.91/3,653.91
  6. Step 6: Final answer
    x = 16,868.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.