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Finding the Third Proportional to 26,632 and 40,756

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Solution

The third proportional to 26,632 and 40,756 is: 62,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,632 : 40,756 = 40,756 : x
  2. Step 2: Convert to fraction form
    26,632/40,756 = 40,756/x
  3. Step 3: Cross multiply
    26,632x = 40,756 × 40,756
  4. Step 4: Simplify right side
    26,632x = 1,661,051,536
  5. Step 5: Solve for x
    x = 1,661,051,536/26,632
  6. Step 6: Final answer
    x = 62,370.51

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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.