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Finding the Third Proportional to 2,983.50 and 6,058

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Solution

The third proportional to 2,983.50 and 6,058 is: 12,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.50 : 6,058 = 6,058 : x
  2. Step 2: Convert to fraction form
    2,983.50/6,058 = 6,058/x
  3. Step 3: Cross multiply
    2,983.50x = 6,058 × 6,058
  4. Step 4: Simplify right side
    2,983.50x = 36,699,364
  5. Step 5: Solve for x
    x = 36,699,364/2,983.50
  6. Step 6: Final answer
    x = 12,300.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.