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Finding the Third Proportional to 10,342 and 22,433

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Solution

The third proportional to 10,342 and 22,433 is: 48,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342 : 22,433 = 22,433 : x
  2. Step 2: Convert to fraction form
    10,342/22,433 = 22,433/x
  3. Step 3: Cross multiply
    10,342x = 22,433 × 22,433
  4. Step 4: Simplify right side
    10,342x = 503,239,489
  5. Step 5: Solve for x
    x = 503,239,489/10,342
  6. Step 6: Final answer
    x = 48,659.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.