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Finding the Third Proportional to 9,724 and 11,644

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Solution

The third proportional to 9,724 and 11,644 is: 13,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 11,644 = 11,644 : x
  2. Step 2: Convert to fraction form
    9,724/11,644 = 11,644/x
  3. Step 3: Cross multiply
    9,724x = 11,644 × 11,644
  4. Step 4: Simplify right side
    9,724x = 135,582,736
  5. Step 5: Solve for x
    x = 135,582,736/9,724
  6. Step 6: Final answer
    x = 13,943.10

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.