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Finding the Third Proportional to 36,576.56 and 68,779.13

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Solution

The third proportional to 36,576.56 and 68,779.13 is: 129,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576.56 : 68,779.13 = 68,779.13 : x
  2. Step 2: Convert to fraction form
    36,576.56/68,779.13 = 68,779.13/x
  3. Step 3: Cross multiply
    36,576.56x = 68,779.13 × 68,779.13
  4. Step 4: Simplify right side
    36,576.56x = 4,730,568,035.77
  5. Step 5: Solve for x
    x = 4,730,568,035.77/36,576.56
  6. Step 6: Final answer
    x = 129,333.31

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.