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Finding the Third Proportional to 32,744 and 71,860

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Solution

The third proportional to 32,744 and 71,860 is: 157,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744 : 71,860 = 71,860 : x
  2. Step 2: Convert to fraction form
    32,744/71,860 = 71,860/x
  3. Step 3: Cross multiply
    32,744x = 71,860 × 71,860
  4. Step 4: Simplify right side
    32,744x = 5,163,859,600
  5. Step 5: Solve for x
    x = 5,163,859,600/32,744
  6. Step 6: Final answer
    x = 157,703.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.