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Finding the Third Proportional to 5,840 and 12,058

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Solution

The third proportional to 5,840 and 12,058 is: 24,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 12,058 = 12,058 : x
  2. Step 2: Convert to fraction form
    5,840/12,058 = 12,058/x
  3. Step 3: Cross multiply
    5,840x = 12,058 × 12,058
  4. Step 4: Simplify right side
    5,840x = 145,395,364
  5. Step 5: Solve for x
    x = 145,395,364/5,840
  6. Step 6: Final answer
    x = 24,896.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.