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Finding the Third Proportional to 29,857 and 46,601

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Solution

The third proportional to 29,857 and 46,601 is: 72,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857 : 46,601 = 46,601 : x
  2. Step 2: Convert to fraction form
    29,857/46,601 = 46,601/x
  3. Step 3: Cross multiply
    29,857x = 46,601 × 46,601
  4. Step 4: Simplify right side
    29,857x = 2,171,653,201
  5. Step 5: Solve for x
    x = 2,171,653,201/29,857
  6. Step 6: Final answer
    x = 72,735.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.