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Finding the Third Proportional to 39,664.50 and 86,241

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Solution

The third proportional to 39,664.50 and 86,241 is: 187,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,664.50 : 86,241 = 86,241 : x
  2. Step 2: Convert to fraction form
    39,664.50/86,241 = 86,241/x
  3. Step 3: Cross multiply
    39,664.50x = 86,241 × 86,241
  4. Step 4: Simplify right side
    39,664.50x = 7,437,510,081
  5. Step 5: Solve for x
    x = 7,437,510,081/39,664.50
  6. Step 6: Final answer
    x = 187,510.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.