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Finding the Third Proportional to 13,224 and 27,924

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Solution

The third proportional to 13,224 and 27,924 is: 58,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 27,924 = 27,924 : x
  2. Step 2: Convert to fraction form
    13,224/27,924 = 27,924/x
  3. Step 3: Cross multiply
    13,224x = 27,924 × 27,924
  4. Step 4: Simplify right side
    13,224x = 779,749,776
  5. Step 5: Solve for x
    x = 779,749,776/13,224
  6. Step 6: Final answer
    x = 58,964.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.