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Finding the Third Proportional to 35,414 and 51,845

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Solution

The third proportional to 35,414 and 51,845 is: 75,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414 : 51,845 = 51,845 : x
  2. Step 2: Convert to fraction form
    35,414/51,845 = 51,845/x
  3. Step 3: Cross multiply
    35,414x = 51,845 × 51,845
  4. Step 4: Simplify right side
    35,414x = 2,687,904,025
  5. Step 5: Solve for x
    x = 2,687,904,025/35,414
  6. Step 6: Final answer
    x = 75,899.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.