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Finding the Third Proportional to 19,005 and 28,517

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Solution

The third proportional to 19,005 and 28,517 is: 42,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005 : 28,517 = 28,517 : x
  2. Step 2: Convert to fraction form
    19,005/28,517 = 28,517/x
  3. Step 3: Cross multiply
    19,005x = 28,517 × 28,517
  4. Step 4: Simplify right side
    19,005x = 813,219,289
  5. Step 5: Solve for x
    x = 813,219,289/19,005
  6. Step 6: Final answer
    x = 42,789.75

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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.