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Finding the Third Proportional to 29,728 and 44,448

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Solution

The third proportional to 29,728 and 44,448 is: 66,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728 : 44,448 = 44,448 : x
  2. Step 2: Convert to fraction form
    29,728/44,448 = 44,448/x
  3. Step 3: Cross multiply
    29,728x = 44,448 × 44,448
  4. Step 4: Simplify right side
    29,728x = 1,975,624,704
  5. Step 5: Solve for x
    x = 1,975,624,704/29,728
  6. Step 6: Final answer
    x = 66,456.70

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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.