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Finding the Third Proportional to 19,162 and 28,625

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Solution

The third proportional to 19,162 and 28,625 is: 42,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,162 : 28,625 = 28,625 : x
  2. Step 2: Convert to fraction form
    19,162/28,625 = 28,625/x
  3. Step 3: Cross multiply
    19,162x = 28,625 × 28,625
  4. Step 4: Simplify right side
    19,162x = 819,390,625
  5. Step 5: Solve for x
    x = 819,390,625/19,162
  6. Step 6: Final answer
    x = 42,761.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.