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Finding the Third Proportional to 47,000.25 and 74,793.38

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Solution

The third proportional to 47,000.25 and 74,793.38 is: 119,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.25 : 74,793.38 = 74,793.38 : x
  2. Step 2: Convert to fraction form
    47,000.25/74,793.38 = 74,793.38/x
  3. Step 3: Cross multiply
    47,000.25x = 74,793.38 × 74,793.38
  4. Step 4: Simplify right side
    47,000.25x = 5,594,048,943.89
  5. Step 5: Solve for x
    x = 5,594,048,943.89/47,000.25
  6. Step 6: Final answer
    x = 119,021.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.