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Finding the Third Proportional to 35,742 and 76,392

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Solution

The third proportional to 35,742 and 76,392 is: 163,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 76,392 = 76,392 : x
  2. Step 2: Convert to fraction form
    35,742/76,392 = 76,392/x
  3. Step 3: Cross multiply
    35,742x = 76,392 × 76,392
  4. Step 4: Simplify right side
    35,742x = 5,835,737,664
  5. Step 5: Solve for x
    x = 5,835,737,664/35,742
  6. Step 6: Final answer
    x = 163,273.95

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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.