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Finding the Third Proportional to 35,742 and 76,393

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Solution

The third proportional to 35,742 and 76,393 is: 163,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 76,393 = 76,393 : x
  2. Step 2: Convert to fraction form
    35,742/76,393 = 76,393/x
  3. Step 3: Cross multiply
    35,742x = 76,393 × 76,393
  4. Step 4: Simplify right side
    35,742x = 5,835,890,449
  5. Step 5: Solve for x
    x = 5,835,890,449/35,742
  6. Step 6: Final answer
    x = 163,278.23

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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.