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Finding the Third Proportional to 10,774 and 22,853

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Solution

The third proportional to 10,774 and 22,853 is: 48,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 22,853 = 22,853 : x
  2. Step 2: Convert to fraction form
    10,774/22,853 = 22,853/x
  3. Step 3: Cross multiply
    10,774x = 22,853 × 22,853
  4. Step 4: Simplify right side
    10,774x = 522,259,609
  5. Step 5: Solve for x
    x = 522,259,609/10,774
  6. Step 6: Final answer
    x = 48,474.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.