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Finding the Third Proportional to 35,435 and 71,896

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Solution

The third proportional to 35,435 and 71,896 is: 145,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,435 : 71,896 = 71,896 : x
  2. Step 2: Convert to fraction form
    35,435/71,896 = 71,896/x
  3. Step 3: Cross multiply
    35,435x = 71,896 × 71,896
  4. Step 4: Simplify right side
    35,435x = 5,169,034,816
  5. Step 5: Solve for x
    x = 5,169,034,816/35,435
  6. Step 6: Final answer
    x = 145,873.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.