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Finding the Third Proportional to 5,457.85 and 11,735.82

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Solution

The third proportional to 5,457.85 and 11,735.82 is: 25,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.85 : 11,735.82 = 11,735.82 : x
  2. Step 2: Convert to fraction form
    5,457.85/11,735.82 = 11,735.82/x
  3. Step 3: Cross multiply
    5,457.85x = 11,735.82 × 11,735.82
  4. Step 4: Simplify right side
    5,457.85x = 137,729,570.09
  5. Step 5: Solve for x
    x = 137,729,570.09/5,457.85
  6. Step 6: Final answer
    x = 25,235.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.