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Finding the Third Proportional to 35,264 and 75,449

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Solution

The third proportional to 35,264 and 75,449 is: 161,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264 : 75,449 = 75,449 : x
  2. Step 2: Convert to fraction form
    35,264/75,449 = 75,449/x
  3. Step 3: Cross multiply
    35,264x = 75,449 × 75,449
  4. Step 4: Simplify right side
    35,264x = 5,692,551,601
  5. Step 5: Solve for x
    x = 5,692,551,601/35,264
  6. Step 6: Final answer
    x = 161,426.71

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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.