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Finding the Third Proportional to 5,177 and 5,501

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Solution

The third proportional to 5,177 and 5,501 is: 5,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177 : 5,501 = 5,501 : x
  2. Step 2: Convert to fraction form
    5,177/5,501 = 5,501/x
  3. Step 3: Cross multiply
    5,177x = 5,501 × 5,501
  4. Step 4: Simplify right side
    5,177x = 30,261,001
  5. Step 5: Solve for x
    x = 30,261,001/5,177
  6. Step 6: Final answer
    x = 5,845.28

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.