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Finding the Third Proportional to 26,842 and 72,451

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Solution

The third proportional to 26,842 and 72,451 is: 195,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842 : 72,451 = 72,451 : x
  2. Step 2: Convert to fraction form
    26,842/72,451 = 72,451/x
  3. Step 3: Cross multiply
    26,842x = 72,451 × 72,451
  4. Step 4: Simplify right side
    26,842x = 5,249,147,401
  5. Step 5: Solve for x
    x = 5,249,147,401/26,842
  6. Step 6: Final answer
    x = 195,557.24

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.