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Finding the Third Proportional to 28,234 and 62,006

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Solution

The third proportional to 28,234 and 62,006 is: 136,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234 : 62,006 = 62,006 : x
  2. Step 2: Convert to fraction form
    28,234/62,006 = 62,006/x
  3. Step 3: Cross multiply
    28,234x = 62,006 × 62,006
  4. Step 4: Simplify right side
    28,234x = 3,844,744,036
  5. Step 5: Solve for x
    x = 3,844,744,036/28,234
  6. Step 6: Final answer
    x = 136,174.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.