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Finding the Third Proportional to 19,314 and 25,869

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Solution

The third proportional to 19,314 and 25,869 is: 34,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314 : 25,869 = 25,869 : x
  2. Step 2: Convert to fraction form
    19,314/25,869 = 25,869/x
  3. Step 3: Cross multiply
    19,314x = 25,869 × 25,869
  4. Step 4: Simplify right side
    19,314x = 669,205,161
  5. Step 5: Solve for x
    x = 669,205,161/19,314
  6. Step 6: Final answer
    x = 34,648.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.