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Finding the Third Proportional to 11,097 and 24,109

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Solution

The third proportional to 11,097 and 24,109 is: 52,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 24,109 = 24,109 : x
  2. Step 2: Convert to fraction form
    11,097/24,109 = 24,109/x
  3. Step 3: Cross multiply
    11,097x = 24,109 × 24,109
  4. Step 4: Simplify right side
    11,097x = 581,243,881
  5. Step 5: Solve for x
    x = 581,243,881/11,097
  6. Step 6: Final answer
    x = 52,378.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.