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Finding the Third Proportional to 9,947.25 and 13,944.38

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Solution

The third proportional to 9,947.25 and 13,944.38 is: 19,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.25 : 13,944.38 = 13,944.38 : x
  2. Step 2: Convert to fraction form
    9,947.25/13,944.38 = 13,944.38/x
  3. Step 3: Cross multiply
    9,947.25x = 13,944.38 × 13,944.38
  4. Step 4: Simplify right side
    9,947.25x = 194,445,594.14
  5. Step 5: Solve for x
    x = 194,445,594.14/9,947.25
  6. Step 6: Final answer
    x = 19,547.67

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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.