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Finding the Third Proportional to 6,189.75 and 9,284.63

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Solution

The third proportional to 6,189.75 and 9,284.63 is: 13,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.75 : 9,284.63 = 9,284.63 : x
  2. Step 2: Convert to fraction form
    6,189.75/9,284.63 = 9,284.63/x
  3. Step 3: Cross multiply
    6,189.75x = 9,284.63 × 9,284.63
  4. Step 4: Simplify right side
    6,189.75x = 86,204,261.39
  5. Step 5: Solve for x
    x = 86,204,261.39/6,189.75
  6. Step 6: Final answer
    x = 13,926.94

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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.