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Finding the Third Proportional to 4,749 and 5,181

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Solution

The third proportional to 4,749 and 5,181 is: 5,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749 : 5,181 = 5,181 : x
  2. Step 2: Convert to fraction form
    4,749/5,181 = 5,181/x
  3. Step 3: Cross multiply
    4,749x = 5,181 × 5,181
  4. Step 4: Simplify right side
    4,749x = 26,842,761
  5. Step 5: Solve for x
    x = 26,842,761/4,749
  6. Step 6: Final answer
    x = 5,652.30

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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.