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Finding the Third Proportional to 20,472.75 and 47,035.69

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Solution

The third proportional to 20,472.75 and 47,035.69 is: 108,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.75 : 47,035.69 = 47,035.69 : x
  2. Step 2: Convert to fraction form
    20,472.75/47,035.69 = 47,035.69/x
  3. Step 3: Cross multiply
    20,472.75x = 47,035.69 × 47,035.69
  4. Step 4: Simplify right side
    20,472.75x = 2,212,355,898.60
  5. Step 5: Solve for x
    x = 2,212,355,898.60/20,472.75
  6. Step 6: Final answer
    x = 108,063.45

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.