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Finding the Third Proportional to 20,213 and 31,346

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Solution

The third proportional to 20,213 and 31,346 is: 48,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213 : 31,346 = 31,346 : x
  2. Step 2: Convert to fraction form
    20,213/31,346 = 31,346/x
  3. Step 3: Cross multiply
    20,213x = 31,346 × 31,346
  4. Step 4: Simplify right side
    20,213x = 982,571,716
  5. Step 5: Solve for x
    x = 982,571,716/20,213
  6. Step 6: Final answer
    x = 48,610.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.