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Finding the Third Proportional to 11,016 and 24,117

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Solution

The third proportional to 11,016 and 24,117 is: 52,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016 : 24,117 = 24,117 : x
  2. Step 2: Convert to fraction form
    11,016/24,117 = 24,117/x
  3. Step 3: Cross multiply
    11,016x = 24,117 × 24,117
  4. Step 4: Simplify right side
    11,016x = 581,629,689
  5. Step 5: Solve for x
    x = 581,629,689/11,016
  6. Step 6: Final answer
    x = 52,798.63

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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.