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Finding the Third Proportional to 2,874.23 and 6,048.42

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Solution

The third proportional to 2,874.23 and 6,048.42 is: 12,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.23 : 6,048.42 = 6,048.42 : x
  2. Step 2: Convert to fraction form
    2,874.23/6,048.42 = 6,048.42/x
  3. Step 3: Cross multiply
    2,874.23x = 6,048.42 × 6,048.42
  4. Step 4: Simplify right side
    2,874.23x = 36,583,407.18
  5. Step 5: Solve for x
    x = 36,583,407.18/2,874.23
  6. Step 6: Final answer
    x = 12,728.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.