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Finding the Third Proportional to 39,454.50 and 55,495.88

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Solution

The third proportional to 39,454.50 and 55,495.88 is: 78,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,454.50 : 55,495.88 = 55,495.88 : x
  2. Step 2: Convert to fraction form
    39,454.50/55,495.88 = 55,495.88/x
  3. Step 3: Cross multiply
    39,454.50x = 55,495.88 × 55,495.88
  4. Step 4: Simplify right side
    39,454.50x = 3,079,792,142.02
  5. Step 5: Solve for x
    x = 3,079,792,142.02/39,454.50
  6. Step 6: Final answer
    x = 78,059.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.