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Finding the Third Proportional to 9,774 and 13,731.75

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Solution

The third proportional to 9,774 and 13,731.75 is: 19,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 13,731.75 = 13,731.75 : x
  2. Step 2: Convert to fraction form
    9,774/13,731.75 = 13,731.75/x
  3. Step 3: Cross multiply
    9,774x = 13,731.75 × 13,731.75
  4. Step 4: Simplify right side
    9,774x = 188,560,958.06
  5. Step 5: Solve for x
    x = 188,560,958.06/9,774
  6. Step 6: Final answer
    x = 19,292.10

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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.