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Finding the Third Proportional to 10,716 and 12,894

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Solution

The third proportional to 10,716 and 12,894 is: 15,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716 : 12,894 = 12,894 : x
  2. Step 2: Convert to fraction form
    10,716/12,894 = 12,894/x
  3. Step 3: Cross multiply
    10,716x = 12,894 × 12,894
  4. Step 4: Simplify right side
    10,716x = 166,255,236
  5. Step 5: Solve for x
    x = 166,255,236/10,716
  6. Step 6: Final answer
    x = 15,514.67

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.