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Finding the Third Proportional to 35,434 and 75,956

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Solution

The third proportional to 35,434 and 75,956 is: 162,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,434 : 75,956 = 75,956 : x
  2. Step 2: Convert to fraction form
    35,434/75,956 = 75,956/x
  3. Step 3: Cross multiply
    35,434x = 75,956 × 75,956
  4. Step 4: Simplify right side
    35,434x = 5,769,313,936
  5. Step 5: Solve for x
    x = 5,769,313,936/35,434
  6. Step 6: Final answer
    x = 162,818.59

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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.