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Finding the Third Proportional to 30,369.09 and 47,273.63

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Solution

The third proportional to 30,369.09 and 47,273.63 is: 73,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,369.09 : 47,273.63 = 47,273.63 : x
  2. Step 2: Convert to fraction form
    30,369.09/47,273.63 = 47,273.63/x
  3. Step 3: Cross multiply
    30,369.09x = 47,273.63 × 47,273.63
  4. Step 4: Simplify right side
    30,369.09x = 2,234,795,620.64
  5. Step 5: Solve for x
    x = 2,234,795,620.64/30,369.09
  6. Step 6: Final answer
    x = 73,587.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.