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Finding the Third Proportional to 9,751 and 19,015.75

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Solution

The third proportional to 9,751 and 19,015.75 is: 37,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751 : 19,015.75 = 19,015.75 : x
  2. Step 2: Convert to fraction form
    9,751/19,015.75 = 19,015.75/x
  3. Step 3: Cross multiply
    9,751x = 19,015.75 × 19,015.75
  4. Step 4: Simplify right side
    9,751x = 361,598,748.06
  5. Step 5: Solve for x
    x = 361,598,748.06/9,751
  6. Step 6: Final answer
    x = 37,083.25

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.