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Finding the Third Proportional to 16,861 and 25,291

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Solution

The third proportional to 16,861 and 25,291 is: 37,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861 : 25,291 = 25,291 : x
  2. Step 2: Convert to fraction form
    16,861/25,291 = 25,291/x
  3. Step 3: Cross multiply
    16,861x = 25,291 × 25,291
  4. Step 4: Simplify right side
    16,861x = 639,634,681
  5. Step 5: Solve for x
    x = 639,634,681/16,861
  6. Step 6: Final answer
    x = 37,935.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.