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Finding the Third Proportional to 38,236.50 and 58,002.75

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Solution

The third proportional to 38,236.50 and 58,002.75 is: 87,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,236.50 : 58,002.75 = 58,002.75 : x
  2. Step 2: Convert to fraction form
    38,236.50/58,002.75 = 58,002.75/x
  3. Step 3: Cross multiply
    38,236.50x = 58,002.75 × 58,002.75
  4. Step 4: Simplify right side
    38,236.50x = 3,364,319,007.56
  5. Step 5: Solve for x
    x = 3,364,319,007.56/38,236.50
  6. Step 6: Final answer
    x = 87,987.11

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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.