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Finding the Third Proportional to 47,899.50 and 73,523.25

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Solution

The third proportional to 47,899.50 and 73,523.25 is: 112,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,899.50 : 73,523.25 = 73,523.25 : x
  2. Step 2: Convert to fraction form
    47,899.50/73,523.25 = 73,523.25/x
  3. Step 3: Cross multiply
    47,899.50x = 73,523.25 × 73,523.25
  4. Step 4: Simplify right side
    47,899.50x = 5,405,668,290.56
  5. Step 5: Solve for x
    x = 5,405,668,290.56/47,899.50
  6. Step 6: Final answer
    x = 112,854.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.