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Finding the Third Proportional to 5,425 and 9,935

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Solution

The third proportional to 5,425 and 9,935 is: 18,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425 : 9,935 = 9,935 : x
  2. Step 2: Convert to fraction form
    5,425/9,935 = 9,935/x
  3. Step 3: Cross multiply
    5,425x = 9,935 × 9,935
  4. Step 4: Simplify right side
    5,425x = 98,704,225
  5. Step 5: Solve for x
    x = 98,704,225/5,425
  6. Step 6: Final answer
    x = 18,194.33

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.