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Finding the Third Proportional to 4,305.66 and 9,457.07

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Solution

The third proportional to 4,305.66 and 9,457.07 is: 20,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.66 : 9,457.07 = 9,457.07 : x
  2. Step 2: Convert to fraction form
    4,305.66/9,457.07 = 9,457.07/x
  3. Step 3: Cross multiply
    4,305.66x = 9,457.07 × 9,457.07
  4. Step 4: Simplify right side
    4,305.66x = 89,436,105.01
  5. Step 5: Solve for x
    x = 89,436,105.01/4,305.66
  6. Step 6: Final answer
    x = 20,771.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.