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Finding the Third Proportional to 11,841 and 13,071

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Solution

The third proportional to 11,841 and 13,071 is: 14,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841 : 13,071 = 13,071 : x
  2. Step 2: Convert to fraction form
    11,841/13,071 = 13,071/x
  3. Step 3: Cross multiply
    11,841x = 13,071 × 13,071
  4. Step 4: Simplify right side
    11,841x = 170,851,041
  5. Step 5: Solve for x
    x = 170,851,041/11,841
  6. Step 6: Final answer
    x = 14,428.77

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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.