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Finding the Third Proportional to 10,541 and 22,631

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Solution

The third proportional to 10,541 and 22,631 is: 48,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541 : 22,631 = 22,631 : x
  2. Step 2: Convert to fraction form
    10,541/22,631 = 22,631/x
  3. Step 3: Cross multiply
    10,541x = 22,631 × 22,631
  4. Step 4: Simplify right side
    10,541x = 512,162,161
  5. Step 5: Solve for x
    x = 512,162,161/10,541
  6. Step 6: Final answer
    x = 48,587.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.