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Finding the Third Proportional to 47,496.75 and 74,120.75

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Solution

The third proportional to 47,496.75 and 74,120.75 is: 115,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496.75 : 74,120.75 = 74,120.75 : x
  2. Step 2: Convert to fraction form
    47,496.75/74,120.75 = 74,120.75/x
  3. Step 3: Cross multiply
    47,496.75x = 74,120.75 × 74,120.75
  4. Step 4: Simplify right side
    47,496.75x = 5,493,885,580.56
  5. Step 5: Solve for x
    x = 5,493,885,580.56/47,496.75
  6. Step 6: Final answer
    x = 115,668.66

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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.