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Finding the Third Proportional to 3,767.06 and 8,141.63

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Solution

The third proportional to 3,767.06 and 8,141.63 is: 17,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.06 : 8,141.63 = 8,141.63 : x
  2. Step 2: Convert to fraction form
    3,767.06/8,141.63 = 8,141.63/x
  3. Step 3: Cross multiply
    3,767.06x = 8,141.63 × 8,141.63
  4. Step 4: Simplify right side
    3,767.06x = 66,286,057.64
  5. Step 5: Solve for x
    x = 66,286,057.64/3,767.06
  6. Step 6: Final answer
    x = 17,596.22

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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.