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Finding the Third Proportional to 6,194 and 9,277

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Solution

The third proportional to 6,194 and 9,277 is: 13,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 9,277 = 9,277 : x
  2. Step 2: Convert to fraction form
    6,194/9,277 = 9,277/x
  3. Step 3: Cross multiply
    6,194x = 9,277 × 9,277
  4. Step 4: Simplify right side
    6,194x = 86,062,729
  5. Step 5: Solve for x
    x = 86,062,729/6,194
  6. Step 6: Final answer
    x = 13,894.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.