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Finding the Third Proportional to 2,705.97 and 4,048.09

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Solution

The third proportional to 2,705.97 and 4,048.09 is: 6,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.97 : 4,048.09 = 4,048.09 : x
  2. Step 2: Convert to fraction form
    2,705.97/4,048.09 = 4,048.09/x
  3. Step 3: Cross multiply
    2,705.97x = 4,048.09 × 4,048.09
  4. Step 4: Simplify right side
    2,705.97x = 16,387,063.01
  5. Step 5: Solve for x
    x = 16,387,063.01/2,705.97
  6. Step 6: Final answer
    x = 6,055.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.