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Finding the Third Proportional to 11,834 and 25,693

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Solution

The third proportional to 11,834 and 25,693 is: 55,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834 : 25,693 = 25,693 : x
  2. Step 2: Convert to fraction form
    11,834/25,693 = 25,693/x
  3. Step 3: Cross multiply
    11,834x = 25,693 × 25,693
  4. Step 4: Simplify right side
    11,834x = 660,130,249
  5. Step 5: Solve for x
    x = 660,130,249/11,834
  6. Step 6: Final answer
    x = 55,782.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.