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Finding the Third Proportional to 17,266 and 24,440

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Solution

The third proportional to 17,266 and 24,440 is: 34,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266 : 24,440 = 24,440 : x
  2. Step 2: Convert to fraction form
    17,266/24,440 = 24,440/x
  3. Step 3: Cross multiply
    17,266x = 24,440 × 24,440
  4. Step 4: Simplify right side
    17,266x = 597,313,600
  5. Step 5: Solve for x
    x = 597,313,600/17,266
  6. Step 6: Final answer
    x = 34,594.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.