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Finding the Third Proportional to 9,204 and 12,958

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Solution

The third proportional to 9,204 and 12,958 is: 18,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204 : 12,958 = 12,958 : x
  2. Step 2: Convert to fraction form
    9,204/12,958 = 12,958/x
  3. Step 3: Cross multiply
    9,204x = 12,958 × 12,958
  4. Step 4: Simplify right side
    9,204x = 167,909,764
  5. Step 5: Solve for x
    x = 167,909,764/9,204
  6. Step 6: Final answer
    x = 18,243.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.