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Finding the Third Proportional to 13,064.25 and 28,224.75

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Solution

The third proportional to 13,064.25 and 28,224.75 is: 60,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.25 : 28,224.75 = 28,224.75 : x
  2. Step 2: Convert to fraction form
    13,064.25/28,224.75 = 28,224.75/x
  3. Step 3: Cross multiply
    13,064.25x = 28,224.75 × 28,224.75
  4. Step 4: Simplify right side
    13,064.25x = 796,636,512.56
  5. Step 5: Solve for x
    x = 796,636,512.56/13,064.25
  6. Step 6: Final answer
    x = 60,978.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.