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Finding the Third Proportional to 3,927.09 and 8,127.56

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Solution

The third proportional to 3,927.09 and 8,127.56 is: 16,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.09 : 8,127.56 = 8,127.56 : x
  2. Step 2: Convert to fraction form
    3,927.09/8,127.56 = 8,127.56/x
  3. Step 3: Cross multiply
    3,927.09x = 8,127.56 × 8,127.56
  4. Step 4: Simplify right side
    3,927.09x = 66,057,272.19
  5. Step 5: Solve for x
    x = 66,057,272.19/3,927.09
  6. Step 6: Final answer
    x = 16,820.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.