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Finding the Third Proportional to 9,432 and 13,194

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Solution

The third proportional to 9,432 and 13,194 is: 18,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 13,194 = 13,194 : x
  2. Step 2: Convert to fraction form
    9,432/13,194 = 13,194/x
  3. Step 3: Cross multiply
    9,432x = 13,194 × 13,194
  4. Step 4: Simplify right side
    9,432x = 174,081,636
  5. Step 5: Solve for x
    x = 174,081,636/9,432
  6. Step 6: Final answer
    x = 18,456.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.