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Finding the Third Proportional to 39,744 and 81,310

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Solution

The third proportional to 39,744 and 81,310 is: 166,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 81,310 = 81,310 : x
  2. Step 2: Convert to fraction form
    39,744/81,310 = 81,310/x
  3. Step 3: Cross multiply
    39,744x = 81,310 × 81,310
  4. Step 4: Simplify right side
    39,744x = 6,611,316,100
  5. Step 5: Solve for x
    x = 6,611,316,100/39,744
  6. Step 6: Final answer
    x = 166,347.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.