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Finding the Third Proportional to 19,608.38 and 30,000.94

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Solution

The third proportional to 19,608.38 and 30,000.94 is: 45,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.38 : 30,000.94 = 30,000.94 : x
  2. Step 2: Convert to fraction form
    19,608.38/30,000.94 = 30,000.94/x
  3. Step 3: Cross multiply
    19,608.38x = 30,000.94 × 30,000.94
  4. Step 4: Simplify right side
    19,608.38x = 900,056,250.88
  5. Step 5: Solve for x
    x = 900,056,250.88/19,608.38
  6. Step 6: Final answer
    x = 45,901.62

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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.