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Finding the Third Proportional to 4,779.69 and 11,245.38

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Solution

The third proportional to 4,779.69 and 11,245.38 is: 26,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.69 : 11,245.38 = 11,245.38 : x
  2. Step 2: Convert to fraction form
    4,779.69/11,245.38 = 11,245.38/x
  3. Step 3: Cross multiply
    4,779.69x = 11,245.38 × 11,245.38
  4. Step 4: Simplify right side
    4,779.69x = 126,458,458.89
  5. Step 5: Solve for x
    x = 126,458,458.89/4,779.69
  6. Step 6: Final answer
    x = 26,457.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.