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Finding the Third Proportional to 13,778 and 30,195

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Solution

The third proportional to 13,778 and 30,195 is: 66,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778 : 30,195 = 30,195 : x
  2. Step 2: Convert to fraction form
    13,778/30,195 = 30,195/x
  3. Step 3: Cross multiply
    13,778x = 30,195 × 30,195
  4. Step 4: Simplify right side
    13,778x = 911,738,025
  5. Step 5: Solve for x
    x = 911,738,025/13,778
  6. Step 6: Final answer
    x = 66,173.47

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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.