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Finding the Third Proportional to 19,947.38 and 30,450.38

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Solution

The third proportional to 19,947.38 and 30,450.38 is: 46,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947.38 : 30,450.38 = 30,450.38 : x
  2. Step 2: Convert to fraction form
    19,947.38/30,450.38 = 30,450.38/x
  3. Step 3: Cross multiply
    19,947.38x = 30,450.38 × 30,450.38
  4. Step 4: Simplify right side
    19,947.38x = 927,225,337.64
  5. Step 5: Solve for x
    x = 927,225,337.64/19,947.38
  6. Step 6: Final answer
    x = 46,483.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.