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Finding the Third Proportional to 3,779.79 and 8,010.46

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Solution

The third proportional to 3,779.79 and 8,010.46 is: 16,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.79 : 8,010.46 = 8,010.46 : x
  2. Step 2: Convert to fraction form
    3,779.79/8,010.46 = 8,010.46/x
  3. Step 3: Cross multiply
    3,779.79x = 8,010.46 × 8,010.46
  4. Step 4: Simplify right side
    3,779.79x = 64,167,421.85
  5. Step 5: Solve for x
    x = 64,167,421.85/3,779.79
  6. Step 6: Final answer
    x = 16,976.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.