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Finding the Third Proportional to 35,338 and 75,795

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Solution

The third proportional to 35,338 and 75,795 is: 162,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338 : 75,795 = 75,795 : x
  2. Step 2: Convert to fraction form
    35,338/75,795 = 75,795/x
  3. Step 3: Cross multiply
    35,338x = 75,795 × 75,795
  4. Step 4: Simplify right side
    35,338x = 5,744,882,025
  5. Step 5: Solve for x
    x = 5,744,882,025/35,338
  6. Step 6: Final answer
    x = 162,569.53

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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.