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Finding the Third Proportional to 16,856 and 25,988

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Solution

The third proportional to 16,856 and 25,988 is: 40,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856 : 25,988 = 25,988 : x
  2. Step 2: Convert to fraction form
    16,856/25,988 = 25,988/x
  3. Step 3: Cross multiply
    16,856x = 25,988 × 25,988
  4. Step 4: Simplify right side
    16,856x = 675,376,144
  5. Step 5: Solve for x
    x = 675,376,144/16,856
  6. Step 6: Final answer
    x = 40,067.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.