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Finding the Third Proportional to 38,515.50 and 58,046.63

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Solution

The third proportional to 38,515.50 and 58,046.63 is: 87,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515.50 : 58,046.63 = 58,046.63 : x
  2. Step 2: Convert to fraction form
    38,515.50/58,046.63 = 58,046.63/x
  3. Step 3: Cross multiply
    38,515.50x = 58,046.63 × 58,046.63
  4. Step 4: Simplify right side
    38,515.50x = 3,369,410,673.89
  5. Step 5: Solve for x
    x = 3,369,410,673.89/38,515.50
  6. Step 6: Final answer
    x = 87,481.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.