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Finding the Third Proportional to 9,402.75 and 14,105.25

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Solution

The third proportional to 9,402.75 and 14,105.25 is: 21,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.75 : 14,105.25 = 14,105.25 : x
  2. Step 2: Convert to fraction form
    9,402.75/14,105.25 = 14,105.25/x
  3. Step 3: Cross multiply
    9,402.75x = 14,105.25 × 14,105.25
  4. Step 4: Simplify right side
    9,402.75x = 198,958,077.56
  5. Step 5: Solve for x
    x = 198,958,077.56/9,402.75
  6. Step 6: Final answer
    x = 21,159.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.