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Finding the Third Proportional to 26,978 and 40,304

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Solution

The third proportional to 26,978 and 40,304 is: 60,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978 : 40,304 = 40,304 : x
  2. Step 2: Convert to fraction form
    26,978/40,304 = 40,304/x
  3. Step 3: Cross multiply
    26,978x = 40,304 × 40,304
  4. Step 4: Simplify right side
    26,978x = 1,624,412,416
  5. Step 5: Solve for x
    x = 1,624,412,416/26,978
  6. Step 6: Final answer
    x = 60,212.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.