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Finding the Third Proportional to 15,686 and 37,937

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Solution

The third proportional to 15,686 and 37,937 is: 91,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686 : 37,937 = 37,937 : x
  2. Step 2: Convert to fraction form
    15,686/37,937 = 37,937/x
  3. Step 3: Cross multiply
    15,686x = 37,937 × 37,937
  4. Step 4: Simplify right side
    15,686x = 1,439,215,969
  5. Step 5: Solve for x
    x = 1,439,215,969/15,686
  6. Step 6: Final answer
    x = 91,751.62

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.