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Finding the Third Proportional to 19,837 and 28,663

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Solution

The third proportional to 19,837 and 28,663 is: 41,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837 : 28,663 = 28,663 : x
  2. Step 2: Convert to fraction form
    19,837/28,663 = 28,663/x
  3. Step 3: Cross multiply
    19,837x = 28,663 × 28,663
  4. Step 4: Simplify right side
    19,837x = 821,567,569
  5. Step 5: Solve for x
    x = 821,567,569/19,837
  6. Step 6: Final answer
    x = 41,415.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.