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Finding the Third Proportional to 11,586 and 24,980

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Solution

The third proportional to 11,586 and 24,980 is: 53,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 24,980 = 24,980 : x
  2. Step 2: Convert to fraction form
    11,586/24,980 = 24,980/x
  3. Step 3: Cross multiply
    11,586x = 24,980 × 24,980
  4. Step 4: Simplify right side
    11,586x = 624,000,400
  5. Step 5: Solve for x
    x = 624,000,400/11,586
  6. Step 6: Final answer
    x = 53,858.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.