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Finding the Third Proportional to 19,042 and 28,895

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Solution

The third proportional to 19,042 and 28,895 is: 43,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,042 : 28,895 = 28,895 : x
  2. Step 2: Convert to fraction form
    19,042/28,895 = 28,895/x
  3. Step 3: Cross multiply
    19,042x = 28,895 × 28,895
  4. Step 4: Simplify right side
    19,042x = 834,921,025
  5. Step 5: Solve for x
    x = 834,921,025/19,042
  6. Step 6: Final answer
    x = 43,846.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.