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Finding the Third Proportional to 3,072.94 and 5,127.05

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Solution

The third proportional to 3,072.94 and 5,127.05 is: 8,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.94 : 5,127.05 = 5,127.05 : x
  2. Step 2: Convert to fraction form
    3,072.94/5,127.05 = 5,127.05/x
  3. Step 3: Cross multiply
    3,072.94x = 5,127.05 × 5,127.05
  4. Step 4: Simplify right side
    3,072.94x = 26,286,609.66
  5. Step 5: Solve for x
    x = 26,286,609.66/3,072.94
  6. Step 6: Final answer
    x = 8,554.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.