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Finding the Third Proportional to 29,706 and 61,857

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Solution

The third proportional to 29,706 and 61,857 is: 128,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706 : 61,857 = 61,857 : x
  2. Step 2: Convert to fraction form
    29,706/61,857 = 61,857/x
  3. Step 3: Cross multiply
    29,706x = 61,857 × 61,857
  4. Step 4: Simplify right side
    29,706x = 3,826,288,449
  5. Step 5: Solve for x
    x = 3,826,288,449/29,706
  6. Step 6: Final answer
    x = 128,805.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.