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Finding the Third Proportional to 36,022.50 and 84,141

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Solution

The third proportional to 36,022.50 and 84,141 is: 196,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022.50 : 84,141 = 84,141 : x
  2. Step 2: Convert to fraction form
    36,022.50/84,141 = 84,141/x
  3. Step 3: Cross multiply
    36,022.50x = 84,141 × 84,141
  4. Step 4: Simplify right side
    36,022.50x = 7,079,707,881
  5. Step 5: Solve for x
    x = 7,079,707,881/36,022.50
  6. Step 6: Final answer
    x = 196,535.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.