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Finding the Third Proportional to 11,042 and 23,224

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Solution

The third proportional to 11,042 and 23,224 is: 48,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042 : 23,224 = 23,224 : x
  2. Step 2: Convert to fraction form
    11,042/23,224 = 23,224/x
  3. Step 3: Cross multiply
    11,042x = 23,224 × 23,224
  4. Step 4: Simplify right side
    11,042x = 539,354,176
  5. Step 5: Solve for x
    x = 539,354,176/11,042
  6. Step 6: Final answer
    x = 48,845.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.