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Finding the Third Proportional to 10,221 and 23,886

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Solution

The third proportional to 10,221 and 23,886 is: 55,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221 : 23,886 = 23,886 : x
  2. Step 2: Convert to fraction form
    10,221/23,886 = 23,886/x
  3. Step 3: Cross multiply
    10,221x = 23,886 × 23,886
  4. Step 4: Simplify right side
    10,221x = 570,540,996
  5. Step 5: Solve for x
    x = 570,540,996/10,221
  6. Step 6: Final answer
    x = 55,820.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.