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Finding the Third Proportional to 26,984 and 40,199

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Solution

The third proportional to 26,984 and 40,199 is: 59,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984 : 40,199 = 40,199 : x
  2. Step 2: Convert to fraction form
    26,984/40,199 = 40,199/x
  3. Step 3: Cross multiply
    26,984x = 40,199 × 40,199
  4. Step 4: Simplify right side
    26,984x = 1,615,959,601
  5. Step 5: Solve for x
    x = 1,615,959,601/26,984
  6. Step 6: Final answer
    x = 59,885.84

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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.