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Finding the Third Proportional to 30,891 and 47,794.50

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Solution

The third proportional to 30,891 and 47,794.50 is: 73,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891 : 47,794.50 = 47,794.50 : x
  2. Step 2: Convert to fraction form
    30,891/47,794.50 = 47,794.50/x
  3. Step 3: Cross multiply
    30,891x = 47,794.50 × 47,794.50
  4. Step 4: Simplify right side
    30,891x = 2,284,314,230.25
  5. Step 5: Solve for x
    x = 2,284,314,230.25/30,891
  6. Step 6: Final answer
    x = 73,947.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.