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Finding the Third Proportional to 26,126 and 39,736

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Solution

The third proportional to 26,126 and 39,736 is: 60,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,126 : 39,736 = 39,736 : x
  2. Step 2: Convert to fraction form
    26,126/39,736 = 39,736/x
  3. Step 3: Cross multiply
    26,126x = 39,736 × 39,736
  4. Step 4: Simplify right side
    26,126x = 1,578,949,696
  5. Step 5: Solve for x
    x = 1,578,949,696/26,126
  6. Step 6: Final answer
    x = 60,435.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.