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Finding the Third Proportional to 38,828 and 58,962

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Solution

The third proportional to 38,828 and 58,962 is: 89,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828 : 58,962 = 58,962 : x
  2. Step 2: Convert to fraction form
    38,828/58,962 = 58,962/x
  3. Step 3: Cross multiply
    38,828x = 58,962 × 58,962
  4. Step 4: Simplify right side
    38,828x = 3,476,517,444
  5. Step 5: Solve for x
    x = 3,476,517,444/38,828
  6. Step 6: Final answer
    x = 89,536.35

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