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Finding the Third Proportional to 11,762 and 25,381

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Solution

The third proportional to 11,762 and 25,381 is: 54,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762 : 25,381 = 25,381 : x
  2. Step 2: Convert to fraction form
    11,762/25,381 = 25,381/x
  3. Step 3: Cross multiply
    11,762x = 25,381 × 25,381
  4. Step 4: Simplify right side
    11,762x = 644,195,161
  5. Step 5: Solve for x
    x = 644,195,161/11,762
  6. Step 6: Final answer
    x = 54,769.19

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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.