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Finding the Third Proportional to 19,125 and 26,884

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Solution

The third proportional to 19,125 and 26,884 is: 37,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,125 : 26,884 = 26,884 : x
  2. Step 2: Convert to fraction form
    19,125/26,884 = 26,884/x
  3. Step 3: Cross multiply
    19,125x = 26,884 × 26,884
  4. Step 4: Simplify right side
    19,125x = 722,749,456
  5. Step 5: Solve for x
    x = 722,749,456/19,125
  6. Step 6: Final answer
    x = 37,790.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.