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Finding the Third Proportional to 44,450 and 66,549

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Solution

The third proportional to 44,450 and 66,549 is: 99,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,450 : 66,549 = 66,549 : x
  2. Step 2: Convert to fraction form
    44,450/66,549 = 66,549/x
  3. Step 3: Cross multiply
    44,450x = 66,549 × 66,549
  4. Step 4: Simplify right side
    44,450x = 4,428,769,401
  5. Step 5: Solve for x
    x = 4,428,769,401/44,450
  6. Step 6: Final answer
    x = 99,634.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.