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Finding the Third Proportional to 5,177 and 10,948

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Solution

The third proportional to 5,177 and 10,948 is: 23,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177 : 10,948 = 10,948 : x
  2. Step 2: Convert to fraction form
    5,177/10,948 = 10,948/x
  3. Step 3: Cross multiply
    5,177x = 10,948 × 10,948
  4. Step 4: Simplify right side
    5,177x = 119,858,704
  5. Step 5: Solve for x
    x = 119,858,704/5,177
  6. Step 6: Final answer
    x = 23,152.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.