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Finding the Third Proportional to 26,744 and 30,632

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Solution

The third proportional to 26,744 and 30,632 is: 35,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,744 : 30,632 = 30,632 : x
  2. Step 2: Convert to fraction form
    26,744/30,632 = 30,632/x
  3. Step 3: Cross multiply
    26,744x = 30,632 × 30,632
  4. Step 4: Simplify right side
    26,744x = 938,319,424
  5. Step 5: Solve for x
    x = 938,319,424/26,744
  6. Step 6: Final answer
    x = 35,085.23

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.