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Finding the Third Proportional to 3,044.53 and 6,647.34

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Solution

The third proportional to 3,044.53 and 6,647.34 is: 14,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.53 : 6,647.34 = 6,647.34 : x
  2. Step 2: Convert to fraction form
    3,044.53/6,647.34 = 6,647.34/x
  3. Step 3: Cross multiply
    3,044.53x = 6,647.34 × 6,647.34
  4. Step 4: Simplify right side
    3,044.53x = 44,187,178.93
  5. Step 5: Solve for x
    x = 44,187,178.93/3,044.53
  6. Step 6: Final answer
    x = 14,513.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.