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Finding the Third Proportional to 12,062 and 29,057

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Solution

The third proportional to 12,062 and 29,057 is: 69,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,062 : 29,057 = 29,057 : x
  2. Step 2: Convert to fraction form
    12,062/29,057 = 29,057/x
  3. Step 3: Cross multiply
    12,062x = 29,057 × 29,057
  4. Step 4: Simplify right side
    12,062x = 844,309,249
  5. Step 5: Solve for x
    x = 844,309,249/12,062
  6. Step 6: Final answer
    x = 69,997.45

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.