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Finding the Third Proportional to 14,517 and 31,194

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Solution

The third proportional to 14,517 and 31,194 is: 67,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517 : 31,194 = 31,194 : x
  2. Step 2: Convert to fraction form
    14,517/31,194 = 31,194/x
  3. Step 3: Cross multiply
    14,517x = 31,194 × 31,194
  4. Step 4: Simplify right side
    14,517x = 973,065,636
  5. Step 5: Solve for x
    x = 973,065,636/14,517
  6. Step 6: Final answer
    x = 67,029.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.