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Finding the Third Proportional to 34,066 and 73,311.50

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Solution

The third proportional to 34,066 and 73,311.50 is: 157,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066 : 73,311.50 = 73,311.50 : x
  2. Step 2: Convert to fraction form
    34,066/73,311.50 = 73,311.50/x
  3. Step 3: Cross multiply
    34,066x = 73,311.50 × 73,311.50
  4. Step 4: Simplify right side
    34,066x = 5,374,576,032.25
  5. Step 5: Solve for x
    x = 5,374,576,032.25/34,066
  6. Step 6: Final answer
    x = 157,769.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.