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Finding the Third Proportional to 38,217 and 58,144.50

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Solution

The third proportional to 38,217 and 58,144.50 is: 88,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217 : 58,144.50 = 58,144.50 : x
  2. Step 2: Convert to fraction form
    38,217/58,144.50 = 58,144.50/x
  3. Step 3: Cross multiply
    38,217x = 58,144.50 × 58,144.50
  4. Step 4: Simplify right side
    38,217x = 3,380,782,880.25
  5. Step 5: Solve for x
    x = 3,380,782,880.25/38,217
  6. Step 6: Final answer
    x = 88,462.80

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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.