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Finding the Third Proportional to 28,417 and 59,150

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Solution

The third proportional to 28,417 and 59,150 is: 123,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,417 : 59,150 = 59,150 : x
  2. Step 2: Convert to fraction form
    28,417/59,150 = 59,150/x
  3. Step 3: Cross multiply
    28,417x = 59,150 × 59,150
  4. Step 4: Simplify right side
    28,417x = 3,498,722,500
  5. Step 5: Solve for x
    x = 3,498,722,500/28,417
  6. Step 6: Final answer
    x = 123,120.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.