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Finding the Third Proportional to 26,736 and 35,624

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Solution

The third proportional to 26,736 and 35,624 is: 47,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,736 : 35,624 = 35,624 : x
  2. Step 2: Convert to fraction form
    26,736/35,624 = 35,624/x
  3. Step 3: Cross multiply
    26,736x = 35,624 × 35,624
  4. Step 4: Simplify right side
    26,736x = 1,269,069,376
  5. Step 5: Solve for x
    x = 1,269,069,376/26,736
  6. Step 6: Final answer
    x = 47,466.69

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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.