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Finding the Third Proportional to 5,207.77 and 11,457.70

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Solution

The third proportional to 5,207.77 and 11,457.70 is: 25,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.77 : 11,457.70 = 11,457.70 : x
  2. Step 2: Convert to fraction form
    5,207.77/11,457.70 = 11,457.70/x
  3. Step 3: Cross multiply
    5,207.77x = 11,457.70 × 11,457.70
  4. Step 4: Simplify right side
    5,207.77x = 131,278,960.90
  5. Step 5: Solve for x
    x = 131,278,960.90/5,207.77
  6. Step 6: Final answer
    x = 25,208.31

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