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Finding the Third Proportional to 5,586 and 6,058

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Solution

The third proportional to 5,586 and 6,058 is: 6,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 6,058 = 6,058 : x
  2. Step 2: Convert to fraction form
    5,586/6,058 = 6,058/x
  3. Step 3: Cross multiply
    5,586x = 6,058 × 6,058
  4. Step 4: Simplify right side
    5,586x = 36,699,364
  5. Step 5: Solve for x
    x = 36,699,364/5,586
  6. Step 6: Final answer
    x = 6,569.88

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.