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Finding the Third Proportional to 23,231 and 31,213

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Solution

The third proportional to 23,231 and 31,213 is: 41,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231 : 31,213 = 31,213 : x
  2. Step 2: Convert to fraction form
    23,231/31,213 = 31,213/x
  3. Step 3: Cross multiply
    23,231x = 31,213 × 31,213
  4. Step 4: Simplify right side
    23,231x = 974,251,369
  5. Step 5: Solve for x
    x = 974,251,369/23,231
  6. Step 6: Final answer
    x = 41,937.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.