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Finding the Third Proportional to 11,766 and 25,237

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Solution

The third proportional to 11,766 and 25,237 is: 54,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766 : 25,237 = 25,237 : x
  2. Step 2: Convert to fraction form
    11,766/25,237 = 25,237/x
  3. Step 3: Cross multiply
    11,766x = 25,237 × 25,237
  4. Step 4: Simplify right side
    11,766x = 636,906,169
  5. Step 5: Solve for x
    x = 636,906,169/11,766
  6. Step 6: Final answer
    x = 54,131.07

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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.