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Finding the Third Proportional to 33,506 and 44,463

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Solution

The third proportional to 33,506 and 44,463 is: 59,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506 : 44,463 = 44,463 : x
  2. Step 2: Convert to fraction form
    33,506/44,463 = 44,463/x
  3. Step 3: Cross multiply
    33,506x = 44,463 × 44,463
  4. Step 4: Simplify right side
    33,506x = 1,976,958,369
  5. Step 5: Solve for x
    x = 1,976,958,369/33,506
  6. Step 6: Final answer
    x = 59,003.11

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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.