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Finding the Third Proportional to 4,847.06 and 10,467.56

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Solution

The third proportional to 4,847.06 and 10,467.56 is: 22,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.06 : 10,467.56 = 10,467.56 : x
  2. Step 2: Convert to fraction form
    4,847.06/10,467.56 = 10,467.56/x
  3. Step 3: Cross multiply
    4,847.06x = 10,467.56 × 10,467.56
  4. Step 4: Simplify right side
    4,847.06x = 109,569,864.69
  5. Step 5: Solve for x
    x = 109,569,864.69/4,847.06
  6. Step 6: Final answer
    x = 22,605.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.