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Finding the Third Proportional to 28,514 and 62,050

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Solution

The third proportional to 28,514 and 62,050 is: 135,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514 : 62,050 = 62,050 : x
  2. Step 2: Convert to fraction form
    28,514/62,050 = 62,050/x
  3. Step 3: Cross multiply
    28,514x = 62,050 × 62,050
  4. Step 4: Simplify right side
    28,514x = 3,850,202,500
  5. Step 5: Solve for x
    x = 3,850,202,500/28,514
  6. Step 6: Final answer
    x = 135,028.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.