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Finding the Third Proportional to 40,824 and 62,451

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Solution

The third proportional to 40,824 and 62,451 is: 95,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 62,451 = 62,451 : x
  2. Step 2: Convert to fraction form
    40,824/62,451 = 62,451/x
  3. Step 3: Cross multiply
    40,824x = 62,451 × 62,451
  4. Step 4: Simplify right side
    40,824x = 3,900,127,401
  5. Step 5: Solve for x
    x = 3,900,127,401/40,824
  6. Step 6: Final answer
    x = 95,535.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.