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Finding the Third Proportional to 9,789.75 and 14,331.75

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Solution

The third proportional to 9,789.75 and 14,331.75 is: 20,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.75 : 14,331.75 = 14,331.75 : x
  2. Step 2: Convert to fraction form
    9,789.75/14,331.75 = 14,331.75/x
  3. Step 3: Cross multiply
    9,789.75x = 14,331.75 × 14,331.75
  4. Step 4: Simplify right side
    9,789.75x = 205,399,058.06
  5. Step 5: Solve for x
    x = 205,399,058.06/9,789.75
  6. Step 6: Final answer
    x = 20,981.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.