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Finding the Third Proportional to 35,372 and 75,805

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Solution

The third proportional to 35,372 and 75,805 is: 162,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,372 : 75,805 = 75,805 : x
  2. Step 2: Convert to fraction form
    35,372/75,805 = 75,805/x
  3. Step 3: Cross multiply
    35,372x = 75,805 × 75,805
  4. Step 4: Simplify right side
    35,372x = 5,746,398,025
  5. Step 5: Solve for x
    x = 5,746,398,025/35,372
  6. Step 6: Final answer
    x = 162,456.12

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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.