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Finding the Third Proportional to 16,924 and 26,350

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Solution

The third proportional to 16,924 and 26,350 is: 41,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,924 : 26,350 = 26,350 : x
  2. Step 2: Convert to fraction form
    16,924/26,350 = 26,350/x
  3. Step 3: Cross multiply
    16,924x = 26,350 × 26,350
  4. Step 4: Simplify right side
    16,924x = 694,322,500
  5. Step 5: Solve for x
    x = 694,322,500/16,924
  6. Step 6: Final answer
    x = 41,025.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.