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Finding the Third Proportional to 5,431 and 5,935

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Solution

The third proportional to 5,431 and 5,935 is: 6,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431 : 5,935 = 5,935 : x
  2. Step 2: Convert to fraction form
    5,431/5,935 = 5,935/x
  3. Step 3: Cross multiply
    5,431x = 5,935 × 5,935
  4. Step 4: Simplify right side
    5,431x = 35,224,225
  5. Step 5: Solve for x
    x = 35,224,225/5,431
  6. Step 6: Final answer
    x = 6,485.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.