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Finding the Third Proportional to 39,138.19 and 58,573.13

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Solution

The third proportional to 39,138.19 and 58,573.13 is: 87,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,138.19 : 58,573.13 = 58,573.13 : x
  2. Step 2: Convert to fraction form
    39,138.19/58,573.13 = 58,573.13/x
  3. Step 3: Cross multiply
    39,138.19x = 58,573.13 × 58,573.13
  4. Step 4: Simplify right side
    39,138.19x = 3,430,810,972.27
  5. Step 5: Solve for x
    x = 3,430,810,972.27/39,138.19
  6. Step 6: Final answer
    x = 87,658.91

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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.