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Finding the Third Proportional to 11,096 and 24,317

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Solution

The third proportional to 11,096 and 24,317 is: 53,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096 : 24,317 = 24,317 : x
  2. Step 2: Convert to fraction form
    11,096/24,317 = 24,317/x
  3. Step 3: Cross multiply
    11,096x = 24,317 × 24,317
  4. Step 4: Simplify right side
    11,096x = 591,316,489
  5. Step 5: Solve for x
    x = 591,316,489/11,096
  6. Step 6: Final answer
    x = 53,290.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.