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Finding the Third Proportional to 16,741 and 25,937

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Solution

The third proportional to 16,741 and 25,937 is: 40,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,741 : 25,937 = 25,937 : x
  2. Step 2: Convert to fraction form
    16,741/25,937 = 25,937/x
  3. Step 3: Cross multiply
    16,741x = 25,937 × 25,937
  4. Step 4: Simplify right side
    16,741x = 672,727,969
  5. Step 5: Solve for x
    x = 672,727,969/16,741
  6. Step 6: Final answer
    x = 40,184.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.