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Finding the Third Proportional to 4,127.06 and 8,046.56

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Solution

The third proportional to 4,127.06 and 8,046.56 is: 15,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.06 : 8,046.56 = 8,046.56 : x
  2. Step 2: Convert to fraction form
    4,127.06/8,046.56 = 8,046.56/x
  3. Step 3: Cross multiply
    4,127.06x = 8,046.56 × 8,046.56
  4. Step 4: Simplify right side
    4,127.06x = 64,747,168.07
  5. Step 5: Solve for x
    x = 64,747,168.07/4,127.06
  6. Step 6: Final answer
    x = 15,688.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.