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Finding the Third Proportional to 18,310 and 24,869

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Solution

The third proportional to 18,310 and 24,869 is: 33,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,310 : 24,869 = 24,869 : x
  2. Step 2: Convert to fraction form
    18,310/24,869 = 24,869/x
  3. Step 3: Cross multiply
    18,310x = 24,869 × 24,869
  4. Step 4: Simplify right side
    18,310x = 618,467,161
  5. Step 5: Solve for x
    x = 618,467,161/18,310
  6. Step 6: Final answer
    x = 33,777.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.