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Finding the Third Proportional to 28,067 and 61,414

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Solution

The third proportional to 28,067 and 61,414 is: 134,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,067 : 61,414 = 61,414 : x
  2. Step 2: Convert to fraction form
    28,067/61,414 = 61,414/x
  3. Step 3: Cross multiply
    28,067x = 61,414 × 61,414
  4. Step 4: Simplify right side
    28,067x = 3,771,679,396
  5. Step 5: Solve for x
    x = 3,771,679,396/28,067
  6. Step 6: Final answer
    x = 134,381.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.