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Finding the Third Proportional to 39,715.31 and 86,664.94

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Solution

The third proportional to 39,715.31 and 86,664.94 is: 189,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,715.31 : 86,664.94 = 86,664.94 : x
  2. Step 2: Convert to fraction form
    39,715.31/86,664.94 = 86,664.94/x
  3. Step 3: Cross multiply
    39,715.31x = 86,664.94 × 86,664.94
  4. Step 4: Simplify right side
    39,715.31x = 7,510,811,391.88
  5. Step 5: Solve for x
    x = 7,510,811,391.88/39,715.31
  6. Step 6: Final answer
    x = 189,116.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.