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Finding the Third Proportional to 47,973 and 71,965.50

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Solution

The third proportional to 47,973 and 71,965.50 is: 107,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,973 : 71,965.50 = 71,965.50 : x
  2. Step 2: Convert to fraction form
    47,973/71,965.50 = 71,965.50/x
  3. Step 3: Cross multiply
    47,973x = 71,965.50 × 71,965.50
  4. Step 4: Simplify right side
    47,973x = 5,179,033,190.25
  5. Step 5: Solve for x
    x = 5,179,033,190.25/47,973
  6. Step 6: Final answer
    x = 107,957.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.