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Finding the Third Proportional to 13,857.25 and 30,397.07

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Solution

The third proportional to 13,857.25 and 30,397.07 is: 66,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.25 : 30,397.07 = 30,397.07 : x
  2. Step 2: Convert to fraction form
    13,857.25/30,397.07 = 30,397.07/x
  3. Step 3: Cross multiply
    13,857.25x = 30,397.07 × 30,397.07
  4. Step 4: Simplify right side
    13,857.25x = 923,981,824.21
  5. Step 5: Solve for x
    x = 923,981,824.21/13,857.25
  6. Step 6: Final answer
    x = 66,678.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.