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Finding the Third Proportional to 29,734 and 61,929

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Solution

The third proportional to 29,734 and 61,929 is: 128,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734 : 61,929 = 61,929 : x
  2. Step 2: Convert to fraction form
    29,734/61,929 = 61,929/x
  3. Step 3: Cross multiply
    29,734x = 61,929 × 61,929
  4. Step 4: Simplify right side
    29,734x = 3,835,201,041
  5. Step 5: Solve for x
    x = 3,835,201,041/29,734
  6. Step 6: Final answer
    x = 128,983.69

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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.