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Finding the Third Proportional to 14,819.75 and 26,350

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Solution

The third proportional to 14,819.75 and 26,350 is: 46,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.75 : 26,350 = 26,350 : x
  2. Step 2: Convert to fraction form
    14,819.75/26,350 = 26,350/x
  3. Step 3: Cross multiply
    14,819.75x = 26,350 × 26,350
  4. Step 4: Simplify right side
    14,819.75x = 694,322,500
  5. Step 5: Solve for x
    x = 694,322,500/14,819.75
  6. Step 6: Final answer
    x = 46,851.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.