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Finding the Third Proportional to 35,964 and 50,868

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Solution

The third proportional to 35,964 and 50,868 is: 71,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964 : 50,868 = 50,868 : x
  2. Step 2: Convert to fraction form
    35,964/50,868 = 50,868/x
  3. Step 3: Cross multiply
    35,964x = 50,868 × 50,868
  4. Step 4: Simplify right side
    35,964x = 2,587,553,424
  5. Step 5: Solve for x
    x = 2,587,553,424/35,964
  6. Step 6: Final answer
    x = 71,948.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.