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Finding the Third Proportional to 38,426 and 58,805

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Solution

The third proportional to 38,426 and 58,805 is: 89,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 58,805 = 58,805 : x
  2. Step 2: Convert to fraction form
    38,426/58,805 = 58,805/x
  3. Step 3: Cross multiply
    38,426x = 58,805 × 58,805
  4. Step 4: Simplify right side
    38,426x = 3,458,028,025
  5. Step 5: Solve for x
    x = 3,458,028,025/38,426
  6. Step 6: Final answer
    x = 89,991.88

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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.