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Finding the Third Proportional to 6,656.63 and 11,673

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Solution

The third proportional to 6,656.63 and 11,673 is: 20,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.63 : 11,673 = 11,673 : x
  2. Step 2: Convert to fraction form
    6,656.63/11,673 = 11,673/x
  3. Step 3: Cross multiply
    6,656.63x = 11,673 × 11,673
  4. Step 4: Simplify right side
    6,656.63x = 136,258,929
  5. Step 5: Solve for x
    x = 136,258,929/6,656.63
  6. Step 6: Final answer
    x = 20,469.67

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.