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Finding the Third Proportional to 9,756 and 12,768

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Solution

The third proportional to 9,756 and 12,768 is: 16,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 12,768 = 12,768 : x
  2. Step 2: Convert to fraction form
    9,756/12,768 = 12,768/x
  3. Step 3: Cross multiply
    9,756x = 12,768 × 12,768
  4. Step 4: Simplify right side
    9,756x = 163,021,824
  5. Step 5: Solve for x
    x = 163,021,824/9,756
  6. Step 6: Final answer
    x = 16,709.90

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.