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Finding the Third Proportional to 3,194 and 4,933.75

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Solution

The third proportional to 3,194 and 4,933.75 is: 7,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 4,933.75 = 4,933.75 : x
  2. Step 2: Convert to fraction form
    3,194/4,933.75 = 4,933.75/x
  3. Step 3: Cross multiply
    3,194x = 4,933.75 × 4,933.75
  4. Step 4: Simplify right side
    3,194x = 24,341,889.06
  5. Step 5: Solve for x
    x = 24,341,889.06/3,194
  6. Step 6: Final answer
    x = 7,621.13

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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.