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Finding the Third Proportional to 18,978 and 28,458

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Solution

The third proportional to 18,978 and 28,458 is: 42,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978 : 28,458 = 28,458 : x
  2. Step 2: Convert to fraction form
    18,978/28,458 = 28,458/x
  3. Step 3: Cross multiply
    18,978x = 28,458 × 28,458
  4. Step 4: Simplify right side
    18,978x = 809,857,764
  5. Step 5: Solve for x
    x = 809,857,764/18,978
  6. Step 6: Final answer
    x = 42,673.50

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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.