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Finding the Third Proportional to 10,122 and 22,431

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Solution

The third proportional to 10,122 and 22,431 is: 49,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 22,431 = 22,431 : x
  2. Step 2: Convert to fraction form
    10,122/22,431 = 22,431/x
  3. Step 3: Cross multiply
    10,122x = 22,431 × 22,431
  4. Step 4: Simplify right side
    10,122x = 503,149,761
  5. Step 5: Solve for x
    x = 503,149,761/10,122
  6. Step 6: Final answer
    x = 49,708.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.