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Finding the Third Proportional to 35,744 and 77,632

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Solution

The third proportional to 35,744 and 77,632 is: 168,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744 : 77,632 = 77,632 : x
  2. Step 2: Convert to fraction form
    35,744/77,632 = 77,632/x
  3. Step 3: Cross multiply
    35,744x = 77,632 × 77,632
  4. Step 4: Simplify right side
    35,744x = 6,026,727,424
  5. Step 5: Solve for x
    x = 6,026,727,424/35,744
  6. Step 6: Final answer
    x = 168,608.09

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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.