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Finding the Third Proportional to 38,586.38 and 57,970.69

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Solution

The third proportional to 38,586.38 and 57,970.69 is: 87,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586.38 : 57,970.69 = 57,970.69 : x
  2. Step 2: Convert to fraction form
    38,586.38/57,970.69 = 57,970.69/x
  3. Step 3: Cross multiply
    38,586.38x = 57,970.69 × 57,970.69
  4. Step 4: Simplify right side
    38,586.38x = 3,360,600,609.22
  5. Step 5: Solve for x
    x = 3,360,600,609.22/38,586.38
  6. Step 6: Final answer
    x = 87,092.93

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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.