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Finding the Third Proportional to 26,441 and 38,929

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Solution

The third proportional to 26,441 and 38,929 is: 57,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,441 : 38,929 = 38,929 : x
  2. Step 2: Convert to fraction form
    26,441/38,929 = 38,929/x
  3. Step 3: Cross multiply
    26,441x = 38,929 × 38,929
  4. Step 4: Simplify right side
    26,441x = 1,515,467,041
  5. Step 5: Solve for x
    x = 1,515,467,041/26,441
  6. Step 6: Final answer
    x = 57,315.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.