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Finding the Third Proportional to 28,142 and 59,449

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Solution

The third proportional to 28,142 and 59,449 is: 125,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142 : 59,449 = 59,449 : x
  2. Step 2: Convert to fraction form
    28,142/59,449 = 59,449/x
  3. Step 3: Cross multiply
    28,142x = 59,449 × 59,449
  4. Step 4: Simplify right side
    28,142x = 3,534,183,601
  5. Step 5: Solve for x
    x = 3,534,183,601/28,142
  6. Step 6: Final answer
    x = 125,583.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.