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Finding the Third Proportional to 39,960.84 and 86,147.30

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Solution

The third proportional to 39,960.84 and 86,147.30 is: 185,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,960.84 : 86,147.30 = 86,147.30 : x
  2. Step 2: Convert to fraction form
    39,960.84/86,147.30 = 86,147.30/x
  3. Step 3: Cross multiply
    39,960.84x = 86,147.30 × 86,147.30
  4. Step 4: Simplify right side
    39,960.84x = 7,421,356,758.87
  5. Step 5: Solve for x
    x = 7,421,356,758.87/39,960.84
  6. Step 6: Final answer
    x = 185,715.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.