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Finding the Third Proportional to 18,927 and 29,619

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Solution

The third proportional to 18,927 and 29,619 is: 46,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,927 : 29,619 = 29,619 : x
  2. Step 2: Convert to fraction form
    18,927/29,619 = 29,619/x
  3. Step 3: Cross multiply
    18,927x = 29,619 × 29,619
  4. Step 4: Simplify right side
    18,927x = 877,285,161
  5. Step 5: Solve for x
    x = 877,285,161/18,927
  6. Step 6: Final answer
    x = 46,350.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.