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Finding the Third Proportional to 10,206 and 22,161.38

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Solution

The third proportional to 10,206 and 22,161.38 is: 48,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 22,161.38 = 22,161.38 : x
  2. Step 2: Convert to fraction form
    10,206/22,161.38 = 22,161.38/x
  3. Step 3: Cross multiply
    10,206x = 22,161.38 × 22,161.38
  4. Step 4: Simplify right side
    10,206x = 491,126,541.89
  5. Step 5: Solve for x
    x = 491,126,541.89/10,206
  6. Step 6: Final answer
    x = 48,121.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.