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Finding the Third Proportional to 35,037 and 75,906

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Solution

The third proportional to 35,037 and 75,906 is: 164,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,037 : 75,906 = 75,906 : x
  2. Step 2: Convert to fraction form
    35,037/75,906 = 75,906/x
  3. Step 3: Cross multiply
    35,037x = 75,906 × 75,906
  4. Step 4: Simplify right side
    35,037x = 5,761,720,836
  5. Step 5: Solve for x
    x = 5,761,720,836/35,037
  6. Step 6: Final answer
    x = 164,446.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.