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Finding the Third Proportional to 10,197 and 22,025

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Solution

The third proportional to 10,197 and 22,025 is: 47,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197 : 22,025 = 22,025 : x
  2. Step 2: Convert to fraction form
    10,197/22,025 = 22,025/x
  3. Step 3: Cross multiply
    10,197x = 22,025 × 22,025
  4. Step 4: Simplify right side
    10,197x = 485,100,625
  5. Step 5: Solve for x
    x = 485,100,625/10,197
  6. Step 6: Final answer
    x = 47,572.88

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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.