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Finding the Third Proportional to 41,914.50 and 89,820

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Solution

The third proportional to 41,914.50 and 89,820 is: 192,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,914.50 : 89,820 = 89,820 : x
  2. Step 2: Convert to fraction form
    41,914.50/89,820 = 89,820/x
  3. Step 3: Cross multiply
    41,914.50x = 89,820 × 89,820
  4. Step 4: Simplify right side
    41,914.50x = 8,067,632,400
  5. Step 5: Solve for x
    x = 8,067,632,400/41,914.50
  6. Step 6: Final answer
    x = 192,478.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.