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Finding the Third Proportional to 11,786 and 25,418

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Solution

The third proportional to 11,786 and 25,418 is: 54,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786 : 25,418 = 25,418 : x
  2. Step 2: Convert to fraction form
    11,786/25,418 = 25,418/x
  3. Step 3: Cross multiply
    11,786x = 25,418 × 25,418
  4. Step 4: Simplify right side
    11,786x = 646,074,724
  5. Step 5: Solve for x
    x = 646,074,724/11,786
  6. Step 6: Final answer
    x = 54,817.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.