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Finding the Third Proportional to 17,282 and 40,469

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Solution

The third proportional to 17,282 and 40,469 is: 94,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282 : 40,469 = 40,469 : x
  2. Step 2: Convert to fraction form
    17,282/40,469 = 40,469/x
  3. Step 3: Cross multiply
    17,282x = 40,469 × 40,469
  4. Step 4: Simplify right side
    17,282x = 1,637,739,961
  5. Step 5: Solve for x
    x = 1,637,739,961/17,282
  6. Step 6: Final answer
    x = 94,765.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.