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Finding the Third Proportional to 35,694 and 66,102

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Solution

The third proportional to 35,694 and 66,102 is: 122,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694 : 66,102 = 66,102 : x
  2. Step 2: Convert to fraction form
    35,694/66,102 = 66,102/x
  3. Step 3: Cross multiply
    35,694x = 66,102 × 66,102
  4. Step 4: Simplify right side
    35,694x = 4,369,474,404
  5. Step 5: Solve for x
    x = 4,369,474,404/35,694
  6. Step 6: Final answer
    x = 122,414.81

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.