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Finding the Third Proportional to 19,751 and 27,947.50

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Solution

The third proportional to 19,751 and 27,947.50 is: 39,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751 : 27,947.50 = 27,947.50 : x
  2. Step 2: Convert to fraction form
    19,751/27,947.50 = 27,947.50/x
  3. Step 3: Cross multiply
    19,751x = 27,947.50 × 27,947.50
  4. Step 4: Simplify right side
    19,751x = 781,062,756.25
  5. Step 5: Solve for x
    x = 781,062,756.25/19,751
  6. Step 6: Final answer
    x = 39,545.48

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