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Finding the Third Proportional to 6,303 and 13,749

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Solution

The third proportional to 6,303 and 13,749 is: 29,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303 : 13,749 = 13,749 : x
  2. Step 2: Convert to fraction form
    6,303/13,749 = 13,749/x
  3. Step 3: Cross multiply
    6,303x = 13,749 × 13,749
  4. Step 4: Simplify right side
    6,303x = 189,035,001
  5. Step 5: Solve for x
    x = 189,035,001/6,303
  6. Step 6: Final answer
    x = 29,991.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.