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Finding the Third Proportional to 17,510 and 40,144

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Solution

The third proportional to 17,510 and 40,144 is: 92,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510 : 40,144 = 40,144 : x
  2. Step 2: Convert to fraction form
    17,510/40,144 = 40,144/x
  3. Step 3: Cross multiply
    17,510x = 40,144 × 40,144
  4. Step 4: Simplify right side
    17,510x = 1,611,540,736
  5. Step 5: Solve for x
    x = 1,611,540,736/17,510
  6. Step 6: Final answer
    x = 92,035.45

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.