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Finding the Third Proportional to 6,172.13 and 13,369.13

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Solution

The third proportional to 6,172.13 and 13,369.13 is: 28,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.13 : 13,369.13 = 13,369.13 : x
  2. Step 2: Convert to fraction form
    6,172.13/13,369.13 = 13,369.13/x
  3. Step 3: Cross multiply
    6,172.13x = 13,369.13 × 13,369.13
  4. Step 4: Simplify right side
    6,172.13x = 178,733,503.27
  5. Step 5: Solve for x
    x = 178,733,503.27/6,172.13
  6. Step 6: Final answer
    x = 28,958.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.