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Finding the Third Proportional to 10,035.50 and 20,678.44

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Solution

The third proportional to 10,035.50 and 20,678.44 is: 42,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.50 : 20,678.44 = 20,678.44 : x
  2. Step 2: Convert to fraction form
    10,035.50/20,678.44 = 20,678.44/x
  3. Step 3: Cross multiply
    10,035.50x = 20,678.44 × 20,678.44
  4. Step 4: Simplify right side
    10,035.50x = 427,597,777.44
  5. Step 5: Solve for x
    x = 427,597,777.44/10,035.50
  6. Step 6: Final answer
    x = 42,608.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.