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Finding the Third Proportional to 13,496.25 and 29,451.75

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Solution

The third proportional to 13,496.25 and 29,451.75 is: 64,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.25 : 29,451.75 = 29,451.75 : x
  2. Step 2: Convert to fraction form
    13,496.25/29,451.75 = 29,451.75/x
  3. Step 3: Cross multiply
    13,496.25x = 29,451.75 × 29,451.75
  4. Step 4: Simplify right side
    13,496.25x = 867,405,578.06
  5. Step 5: Solve for x
    x = 867,405,578.06/13,496.25
  6. Step 6: Final answer
    x = 64,270.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.