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Finding the Third Proportional to 6,186 and 13,539

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Solution

The third proportional to 6,186 and 13,539 is: 29,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 13,539 = 13,539 : x
  2. Step 2: Convert to fraction form
    6,186/13,539 = 13,539/x
  3. Step 3: Cross multiply
    6,186x = 13,539 × 13,539
  4. Step 4: Simplify right side
    6,186x = 183,304,521
  5. Step 5: Solve for x
    x = 183,304,521/6,186
  6. Step 6: Final answer
    x = 29,632.16

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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.