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Finding the Third Proportional to 26,424 and 40,928

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Solution

The third proportional to 26,424 and 40,928 is: 63,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424 : 40,928 = 40,928 : x
  2. Step 2: Convert to fraction form
    26,424/40,928 = 40,928/x
  3. Step 3: Cross multiply
    26,424x = 40,928 × 40,928
  4. Step 4: Simplify right side
    26,424x = 1,675,101,184
  5. Step 5: Solve for x
    x = 1,675,101,184/26,424
  6. Step 6: Final answer
    x = 63,393.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.