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Finding the Third Proportional to 40,950 and 89,595

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Solution

The third proportional to 40,950 and 89,595 is: 196,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,950 : 89,595 = 89,595 : x
  2. Step 2: Convert to fraction form
    40,950/89,595 = 89,595/x
  3. Step 3: Cross multiply
    40,950x = 89,595 × 89,595
  4. Step 4: Simplify right side
    40,950x = 8,027,264,025
  5. Step 5: Solve for x
    x = 8,027,264,025/40,950
  6. Step 6: Final answer
    x = 196,025.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.