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Finding the Third Proportional to 9,412 and 13,190

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Solution

The third proportional to 9,412 and 13,190 is: 18,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412 : 13,190 = 13,190 : x
  2. Step 2: Convert to fraction form
    9,412/13,190 = 13,190/x
  3. Step 3: Cross multiply
    9,412x = 13,190 × 13,190
  4. Step 4: Simplify right side
    9,412x = 173,976,100
  5. Step 5: Solve for x
    x = 173,976,100/9,412
  6. Step 6: Final answer
    x = 18,484.50

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