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Finding the Third Proportional to 11,224 and 24,419

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Solution

The third proportional to 11,224 and 24,419 is: 53,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224 : 24,419 = 24,419 : x
  2. Step 2: Convert to fraction form
    11,224/24,419 = 24,419/x
  3. Step 3: Cross multiply
    11,224x = 24,419 × 24,419
  4. Step 4: Simplify right side
    11,224x = 596,287,561
  5. Step 5: Solve for x
    x = 596,287,561/11,224
  6. Step 6: Final answer
    x = 53,126.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.