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Finding the Third Proportional to 40,938 and 89,670

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Solution

The third proportional to 40,938 and 89,670 is: 196,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,938 : 89,670 = 89,670 : x
  2. Step 2: Convert to fraction form
    40,938/89,670 = 89,670/x
  3. Step 3: Cross multiply
    40,938x = 89,670 × 89,670
  4. Step 4: Simplify right side
    40,938x = 8,040,708,900
  5. Step 5: Solve for x
    x = 8,040,708,900/40,938
  6. Step 6: Final answer
    x = 196,411.86

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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.