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Finding the Third Proportional to 13,112 and 14,444

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Solution

The third proportional to 13,112 and 14,444 is: 15,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112 : 14,444 = 14,444 : x
  2. Step 2: Convert to fraction form
    13,112/14,444 = 14,444/x
  3. Step 3: Cross multiply
    13,112x = 14,444 × 14,444
  4. Step 4: Simplify right side
    13,112x = 208,629,136
  5. Step 5: Solve for x
    x = 208,629,136/13,112
  6. Step 6: Final answer
    x = 15,911.31

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.