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Finding the Third Proportional to 10,199 and 22,468

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Solution

The third proportional to 10,199 and 22,468 is: 49,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199 : 22,468 = 22,468 : x
  2. Step 2: Convert to fraction form
    10,199/22,468 = 22,468/x
  3. Step 3: Cross multiply
    10,199x = 22,468 × 22,468
  4. Step 4: Simplify right side
    10,199x = 504,811,024
  5. Step 5: Solve for x
    x = 504,811,024/10,199
  6. Step 6: Final answer
    x = 49,496.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.