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Finding the Third Proportional to 30,835.69 and 67,204.69

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Solution

The third proportional to 30,835.69 and 67,204.69 is: 146,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.69 : 67,204.69 = 67,204.69 : x
  2. Step 2: Convert to fraction form
    30,835.69/67,204.69 = 67,204.69/x
  3. Step 3: Cross multiply
    30,835.69x = 67,204.69 × 67,204.69
  4. Step 4: Simplify right side
    30,835.69x = 4,516,470,021.97
  5. Step 5: Solve for x
    x = 4,516,470,021.97/30,835.69
  6. Step 6: Final answer
    x = 146,468.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.