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Finding the Third Proportional to 6,186 and 13,737

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Solution

The third proportional to 6,186 and 13,737 is: 30,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 13,737 = 13,737 : x
  2. Step 2: Convert to fraction form
    6,186/13,737 = 13,737/x
  3. Step 3: Cross multiply
    6,186x = 13,737 × 13,737
  4. Step 4: Simplify right side
    6,186x = 188,705,169
  5. Step 5: Solve for x
    x = 188,705,169/6,186
  6. Step 6: Final answer
    x = 30,505.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.