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Finding the Third Proportional to 12,682 and 29,226

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Solution

The third proportional to 12,682 and 29,226 is: 67,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682 : 29,226 = 29,226 : x
  2. Step 2: Convert to fraction form
    12,682/29,226 = 29,226/x
  3. Step 3: Cross multiply
    12,682x = 29,226 × 29,226
  4. Step 4: Simplify right side
    12,682x = 854,159,076
  5. Step 5: Solve for x
    x = 854,159,076/12,682
  6. Step 6: Final answer
    x = 67,352.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.