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Finding the Third Proportional to 34,239.38 and 69,420.38

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Solution

The third proportional to 34,239.38 and 69,420.38 is: 140,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,239.38 : 69,420.38 = 69,420.38 : x
  2. Step 2: Convert to fraction form
    34,239.38/69,420.38 = 69,420.38/x
  3. Step 3: Cross multiply
    34,239.38x = 69,420.38 × 69,420.38
  4. Step 4: Simplify right side
    34,239.38x = 4,819,188,465.14
  5. Step 5: Solve for x
    x = 4,819,188,465.14/34,239.38
  6. Step 6: Final answer
    x = 140,749.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.