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Finding the Third Proportional to 8,366.50 and 13,454.50

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Solution

The third proportional to 8,366.50 and 13,454.50 is: 21,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.50 : 13,454.50 = 13,454.50 : x
  2. Step 2: Convert to fraction form
    8,366.50/13,454.50 = 13,454.50/x
  3. Step 3: Cross multiply
    8,366.50x = 13,454.50 × 13,454.50
  4. Step 4: Simplify right side
    8,366.50x = 181,023,570.25
  5. Step 5: Solve for x
    x = 181,023,570.25/8,366.50
  6. Step 6: Final answer
    x = 21,636.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.