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Finding the Third Proportional to 26,626 and 40,426

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Solution

The third proportional to 26,626 and 40,426 is: 61,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,626 : 40,426 = 40,426 : x
  2. Step 2: Convert to fraction form
    26,626/40,426 = 40,426/x
  3. Step 3: Cross multiply
    26,626x = 40,426 × 40,426
  4. Step 4: Simplify right side
    26,626x = 1,634,261,476
  5. Step 5: Solve for x
    x = 1,634,261,476/26,626
  6. Step 6: Final answer
    x = 61,378.41

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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.