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Finding the Third Proportional to 7,944.75 and 12,369.38

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Solution

The third proportional to 7,944.75 and 12,369.38 is: 19,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.75 : 12,369.38 = 12,369.38 : x
  2. Step 2: Convert to fraction form
    7,944.75/12,369.38 = 12,369.38/x
  3. Step 3: Cross multiply
    7,944.75x = 12,369.38 × 12,369.38
  4. Step 4: Simplify right side
    7,944.75x = 153,001,437.89
  5. Step 5: Solve for x
    x = 153,001,437.89/7,944.75
  6. Step 6: Final answer
    x = 19,258.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.