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Finding the Third Proportional to 44,624 and 68,448

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Solution

The third proportional to 44,624 and 68,448 is: 104,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,624 : 68,448 = 68,448 : x
  2. Step 2: Convert to fraction form
    44,624/68,448 = 68,448/x
  3. Step 3: Cross multiply
    44,624x = 68,448 × 68,448
  4. Step 4: Simplify right side
    44,624x = 4,685,128,704
  5. Step 5: Solve for x
    x = 4,685,128,704/44,624
  6. Step 6: Final answer
    x = 104,991.23

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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.