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Finding the Third Proportional to 41,782.50 and 91,187

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Solution

The third proportional to 41,782.50 and 91,187 is: 199,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782.50 : 91,187 = 91,187 : x
  2. Step 2: Convert to fraction form
    41,782.50/91,187 = 91,187/x
  3. Step 3: Cross multiply
    41,782.50x = 91,187 × 91,187
  4. Step 4: Simplify right side
    41,782.50x = 8,315,068,969
  5. Step 5: Solve for x
    x = 8,315,068,969/41,782.50
  6. Step 6: Final answer
    x = 199,008.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.