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Finding the Third Proportional to 35,744 and 76,397

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Solution

The third proportional to 35,744 and 76,397 is: 163,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744 : 76,397 = 76,397 : x
  2. Step 2: Convert to fraction form
    35,744/76,397 = 76,397/x
  3. Step 3: Cross multiply
    35,744x = 76,397 × 76,397
  4. Step 4: Simplify right side
    35,744x = 5,836,501,609
  5. Step 5: Solve for x
    x = 5,836,501,609/35,744
  6. Step 6: Final answer
    x = 163,286.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.