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Finding the Third Proportional to 13,857.19 and 30,397.22

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Solution

The third proportional to 13,857.19 and 30,397.22 is: 66,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.19 : 30,397.22 = 30,397.22 : x
  2. Step 2: Convert to fraction form
    13,857.19/30,397.22 = 30,397.22/x
  3. Step 3: Cross multiply
    13,857.19x = 30,397.22 × 30,397.22
  4. Step 4: Simplify right side
    13,857.19x = 923,990,907.74
  5. Step 5: Solve for x
    x = 923,990,907.74/13,857.19
  6. Step 6: Final answer
    x = 66,679.54

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Why These Related Problems?

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