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Finding the Third Proportional to 11,234 and 24,164

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Solution

The third proportional to 11,234 and 24,164 is: 51,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234 : 24,164 = 24,164 : x
  2. Step 2: Convert to fraction form
    11,234/24,164 = 24,164/x
  3. Step 3: Cross multiply
    11,234x = 24,164 × 24,164
  4. Step 4: Simplify right side
    11,234x = 583,898,896
  5. Step 5: Solve for x
    x = 583,898,896/11,234
  6. Step 6: Final answer
    x = 51,976.05

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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.