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Finding the Third Proportional to 35,692 and 76,324

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Solution

The third proportional to 35,692 and 76,324 is: 163,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692 : 76,324 = 76,324 : x
  2. Step 2: Convert to fraction form
    35,692/76,324 = 76,324/x
  3. Step 3: Cross multiply
    35,692x = 76,324 × 76,324
  4. Step 4: Simplify right side
    35,692x = 5,825,352,976
  5. Step 5: Solve for x
    x = 5,825,352,976/35,692
  6. Step 6: Final answer
    x = 163,211.73

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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.