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Finding the Third Proportional to 18,978 and 28,464

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Solution

The third proportional to 18,978 and 28,464 is: 42,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978 : 28,464 = 28,464 : x
  2. Step 2: Convert to fraction form
    18,978/28,464 = 28,464/x
  3. Step 3: Cross multiply
    18,978x = 28,464 × 28,464
  4. Step 4: Simplify right side
    18,978x = 810,199,296
  5. Step 5: Solve for x
    x = 810,199,296/18,978
  6. Step 6: Final answer
    x = 42,691.50

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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.