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Finding the Third Proportional to 19,298 and 28,866

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Solution

The third proportional to 19,298 and 28,866 is: 43,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298 : 28,866 = 28,866 : x
  2. Step 2: Convert to fraction form
    19,298/28,866 = 28,866/x
  3. Step 3: Cross multiply
    19,298x = 28,866 × 28,866
  4. Step 4: Simplify right side
    19,298x = 833,245,956
  5. Step 5: Solve for x
    x = 833,245,956/19,298
  6. Step 6: Final answer
    x = 43,177.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.