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Finding the Third Proportional to 19,842 and 26,451

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Solution

The third proportional to 19,842 and 26,451 is: 35,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842 : 26,451 = 26,451 : x
  2. Step 2: Convert to fraction form
    19,842/26,451 = 26,451/x
  3. Step 3: Cross multiply
    19,842x = 26,451 × 26,451
  4. Step 4: Simplify right side
    19,842x = 699,655,401
  5. Step 5: Solve for x
    x = 699,655,401/19,842
  6. Step 6: Final answer
    x = 35,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.