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Finding the Third Proportional to 30,583.83 and 67,375.97

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Solution

The third proportional to 30,583.83 and 67,375.97 is: 148,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.83 : 67,375.97 = 67,375.97 : x
  2. Step 2: Convert to fraction form
    30,583.83/67,375.97 = 67,375.97/x
  3. Step 3: Cross multiply
    30,583.83x = 67,375.97 × 67,375.97
  4. Step 4: Simplify right side
    30,583.83x = 4,539,521,165.00
  5. Step 5: Solve for x
    x = 4,539,521,165.00/30,583.83
  6. Step 6: Final answer
    x = 148,428.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.