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Finding the Third Proportional to 10,194 and 21,613

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Solution

The third proportional to 10,194 and 21,613 is: 45,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194 : 21,613 = 21,613 : x
  2. Step 2: Convert to fraction form
    10,194/21,613 = 21,613/x
  3. Step 3: Cross multiply
    10,194x = 21,613 × 21,613
  4. Step 4: Simplify right side
    10,194x = 467,121,769
  5. Step 5: Solve for x
    x = 467,121,769/10,194
  6. Step 6: Final answer
    x = 45,823.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.