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Finding the Third Proportional to 16,689 and 31,276

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Solution

The third proportional to 16,689 and 31,276 is: 58,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689 : 31,276 = 31,276 : x
  2. Step 2: Convert to fraction form
    16,689/31,276 = 31,276/x
  3. Step 3: Cross multiply
    16,689x = 31,276 × 31,276
  4. Step 4: Simplify right side
    16,689x = 978,188,176
  5. Step 5: Solve for x
    x = 978,188,176/16,689
  6. Step 6: Final answer
    x = 58,612.75

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.