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Finding the Third Proportional to 10,759 and 23,054

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Solution

The third proportional to 10,759 and 23,054 is: 49,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759 : 23,054 = 23,054 : x
  2. Step 2: Convert to fraction form
    10,759/23,054 = 23,054/x
  3. Step 3: Cross multiply
    10,759x = 23,054 × 23,054
  4. Step 4: Simplify right side
    10,759x = 531,486,916
  5. Step 5: Solve for x
    x = 531,486,916/10,759
  6. Step 6: Final answer
    x = 49,399.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.