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Finding the Third Proportional to 19,338 and 28,997

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Solution

The third proportional to 19,338 and 28,997 is: 43,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,338 : 28,997 = 28,997 : x
  2. Step 2: Convert to fraction form
    19,338/28,997 = 28,997/x
  3. Step 3: Cross multiply
    19,338x = 28,997 × 28,997
  4. Step 4: Simplify right side
    19,338x = 840,826,009
  5. Step 5: Solve for x
    x = 840,826,009/19,338
  6. Step 6: Final answer
    x = 43,480.51

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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.