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Finding the Third Proportional to 38,857.13 and 58,096.50

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Solution

The third proportional to 38,857.13 and 58,096.50 is: 86,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.13 : 58,096.50 = 58,096.50 : x
  2. Step 2: Convert to fraction form
    38,857.13/58,096.50 = 58,096.50/x
  3. Step 3: Cross multiply
    38,857.13x = 58,096.50 × 58,096.50
  4. Step 4: Simplify right side
    38,857.13x = 3,375,203,312.25
  5. Step 5: Solve for x
    x = 3,375,203,312.25/38,857.13
  6. Step 6: Final answer
    x = 86,861.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.