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Finding the Third Proportional to 17,784 and 24,228

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Solution

The third proportional to 17,784 and 24,228 is: 33,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 24,228 = 24,228 : x
  2. Step 2: Convert to fraction form
    17,784/24,228 = 24,228/x
  3. Step 3: Cross multiply
    17,784x = 24,228 × 24,228
  4. Step 4: Simplify right side
    17,784x = 586,995,984
  5. Step 5: Solve for x
    x = 586,995,984/17,784
  6. Step 6: Final answer
    x = 33,006.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.