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Finding the Third Proportional to 20,451 and 44,605

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Solution

The third proportional to 20,451 and 44,605 is: 97,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451 : 44,605 = 44,605 : x
  2. Step 2: Convert to fraction form
    20,451/44,605 = 44,605/x
  3. Step 3: Cross multiply
    20,451x = 44,605 × 44,605
  4. Step 4: Simplify right side
    20,451x = 1,989,606,025
  5. Step 5: Solve for x
    x = 1,989,606,025/20,451
  6. Step 6: Final answer
    x = 97,286.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.