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Finding the Third Proportional to 38,334.94 and 78,583.03

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Solution

The third proportional to 38,334.94 and 78,583.03 is: 161,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,334.94 : 78,583.03 = 78,583.03 : x
  2. Step 2: Convert to fraction form
    38,334.94/78,583.03 = 78,583.03/x
  3. Step 3: Cross multiply
    38,334.94x = 78,583.03 × 78,583.03
  4. Step 4: Simplify right side
    38,334.94x = 6,175,292,800.44
  5. Step 5: Solve for x
    x = 6,175,292,800.44/38,334.94
  6. Step 6: Final answer
    x = 161,087.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.