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Finding the Third Proportional to 11,165 and 24,778

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Solution

The third proportional to 11,165 and 24,778 is: 54,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165 : 24,778 = 24,778 : x
  2. Step 2: Convert to fraction form
    11,165/24,778 = 24,778/x
  3. Step 3: Cross multiply
    11,165x = 24,778 × 24,778
  4. Step 4: Simplify right side
    11,165x = 613,949,284
  5. Step 5: Solve for x
    x = 613,949,284/11,165
  6. Step 6: Final answer
    x = 54,988.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.