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Finding the Third Proportional to 10,108 and 21,860

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Solution

The third proportional to 10,108 and 21,860 is: 47,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108 : 21,860 = 21,860 : x
  2. Step 2: Convert to fraction form
    10,108/21,860 = 21,860/x
  3. Step 3: Cross multiply
    10,108x = 21,860 × 21,860
  4. Step 4: Simplify right side
    10,108x = 477,859,600
  5. Step 5: Solve for x
    x = 477,859,600/10,108
  6. Step 6: Final answer
    x = 47,275.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.