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Finding the Third Proportional to 20,035.69 and 31,147.03

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Solution

The third proportional to 20,035.69 and 31,147.03 is: 48,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.69 : 31,147.03 = 31,147.03 : x
  2. Step 2: Convert to fraction form
    20,035.69/31,147.03 = 31,147.03/x
  3. Step 3: Cross multiply
    20,035.69x = 31,147.03 × 31,147.03
  4. Step 4: Simplify right side
    20,035.69x = 970,137,555.69
  5. Step 5: Solve for x
    x = 970,137,555.69/20,035.69
  6. Step 6: Final answer
    x = 48,420.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.