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Finding the Third Proportional to 28,431 and 62,325

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Solution

The third proportional to 28,431 and 62,325 is: 136,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431 : 62,325 = 62,325 : x
  2. Step 2: Convert to fraction form
    28,431/62,325 = 62,325/x
  3. Step 3: Cross multiply
    28,431x = 62,325 × 62,325
  4. Step 4: Simplify right side
    28,431x = 3,884,405,625
  5. Step 5: Solve for x
    x = 3,884,405,625/28,431
  6. Step 6: Final answer
    x = 136,625.71

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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.