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Finding the Third Proportional to 11,097 and 24,241

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Solution

The third proportional to 11,097 and 24,241 is: 52,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 24,241 = 24,241 : x
  2. Step 2: Convert to fraction form
    11,097/24,241 = 24,241/x
  3. Step 3: Cross multiply
    11,097x = 24,241 × 24,241
  4. Step 4: Simplify right side
    11,097x = 587,626,081
  5. Step 5: Solve for x
    x = 587,626,081/11,097
  6. Step 6: Final answer
    x = 52,953.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.