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Finding the Third Proportional to 34,048.69 and 52,850.81

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Solution

The third proportional to 34,048.69 and 52,850.81 is: 82,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048.69 : 52,850.81 = 52,850.81 : x
  2. Step 2: Convert to fraction form
    34,048.69/52,850.81 = 52,850.81/x
  3. Step 3: Cross multiply
    34,048.69x = 52,850.81 × 52,850.81
  4. Step 4: Simplify right side
    34,048.69x = 2,793,208,381.91
  5. Step 5: Solve for x
    x = 2,793,208,381.91/34,048.69
  6. Step 6: Final answer
    x = 82,035.71

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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.