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Finding the Third Proportional to 7,647.75 and 11,759.63

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Solution

The third proportional to 7,647.75 and 11,759.63 is: 18,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.75 : 11,759.63 = 11,759.63 : x
  2. Step 2: Convert to fraction form
    7,647.75/11,759.63 = 11,759.63/x
  3. Step 3: Cross multiply
    7,647.75x = 11,759.63 × 11,759.63
  4. Step 4: Simplify right side
    7,647.75x = 138,288,780.14
  5. Step 5: Solve for x
    x = 138,288,780.14/7,647.75
  6. Step 6: Final answer
    x = 18,082.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.