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Finding the Third Proportional to 11,365 and 24,103

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Solution

The third proportional to 11,365 and 24,103 is: 51,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365 : 24,103 = 24,103 : x
  2. Step 2: Convert to fraction form
    11,365/24,103 = 24,103/x
  3. Step 3: Cross multiply
    11,365x = 24,103 × 24,103
  4. Step 4: Simplify right side
    11,365x = 580,954,609
  5. Step 5: Solve for x
    x = 580,954,609/11,365
  6. Step 6: Final answer
    x = 51,117.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.