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Finding the Third Proportional to 24,318 and 31,935

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Solution

The third proportional to 24,318 and 31,935 is: 41,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318 : 31,935 = 31,935 : x
  2. Step 2: Convert to fraction form
    24,318/31,935 = 31,935/x
  3. Step 3: Cross multiply
    24,318x = 31,935 × 31,935
  4. Step 4: Simplify right side
    24,318x = 1,019,844,225
  5. Step 5: Solve for x
    x = 1,019,844,225/24,318
  6. Step 6: Final answer
    x = 41,937.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.