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Finding the Third Proportional to 39,580.52 and 80,772.82

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Solution

The third proportional to 39,580.52 and 80,772.82 is: 164,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,580.52 : 80,772.82 = 80,772.82 : x
  2. Step 2: Convert to fraction form
    39,580.52/80,772.82 = 80,772.82/x
  3. Step 3: Cross multiply
    39,580.52x = 80,772.82 × 80,772.82
  4. Step 4: Simplify right side
    39,580.52x = 6,524,248,501.24
  5. Step 5: Solve for x
    x = 6,524,248,501.24/39,580.52
  6. Step 6: Final answer
    x = 164,834.82

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.