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Finding the Third Proportional to 6,660.56 and 9,467.72

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Solution

The third proportional to 6,660.56 and 9,467.72 is: 13,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.56 : 9,467.72 = 9,467.72 : x
  2. Step 2: Convert to fraction form
    6,660.56/9,467.72 = 9,467.72/x
  3. Step 3: Cross multiply
    6,660.56x = 9,467.72 × 9,467.72
  4. Step 4: Simplify right side
    6,660.56x = 89,637,698.33
  5. Step 5: Solve for x
    x = 89,637,698.33/6,660.56
  6. Step 6: Final answer
    x = 13,457.98

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.