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Finding the Third Proportional to 9,738.98 and 12,173.73

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Solution

The third proportional to 9,738.98 and 12,173.73 is: 15,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.98 : 12,173.73 = 12,173.73 : x
  2. Step 2: Convert to fraction form
    9,738.98/12,173.73 = 12,173.73/x
  3. Step 3: Cross multiply
    9,738.98x = 12,173.73 × 12,173.73
  4. Step 4: Simplify right side
    9,738.98x = 148,199,713.53
  5. Step 5: Solve for x
    x = 148,199,713.53/9,738.98
  6. Step 6: Final answer
    x = 15,217.16

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.