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Finding the Third Proportional to 28,231 and 41,567

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Solution

The third proportional to 28,231 and 41,567 is: 61,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231 : 41,567 = 41,567 : x
  2. Step 2: Convert to fraction form
    28,231/41,567 = 41,567/x
  3. Step 3: Cross multiply
    28,231x = 41,567 × 41,567
  4. Step 4: Simplify right side
    28,231x = 1,727,815,489
  5. Step 5: Solve for x
    x = 1,727,815,489/28,231
  6. Step 6: Final answer
    x = 61,202.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.