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Finding the Third Proportional to 6,191 and 9,288

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Solution

The third proportional to 6,191 and 9,288 is: 13,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191 : 9,288 = 9,288 : x
  2. Step 2: Convert to fraction form
    6,191/9,288 = 9,288/x
  3. Step 3: Cross multiply
    6,191x = 9,288 × 9,288
  4. Step 4: Simplify right side
    6,191x = 86,266,944
  5. Step 5: Solve for x
    x = 86,266,944/6,191
  6. Step 6: Final answer
    x = 13,934.25

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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.