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Finding the Third Proportional to 4,779.50 and 11,245.25

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Solution

The third proportional to 4,779.50 and 11,245.25 is: 26,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.50 : 11,245.25 = 11,245.25 : x
  2. Step 2: Convert to fraction form
    4,779.50/11,245.25 = 11,245.25/x
  3. Step 3: Cross multiply
    4,779.50x = 11,245.25 × 11,245.25
  4. Step 4: Simplify right side
    4,779.50x = 126,455,647.56
  5. Step 5: Solve for x
    x = 126,455,647.56/4,779.50
  6. Step 6: Final answer
    x = 26,457.92

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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.