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Finding the Third Proportional to 6,751.69 and 10,585.69

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Solution

The third proportional to 6,751.69 and 10,585.69 is: 16,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.69 : 10,585.69 = 10,585.69 : x
  2. Step 2: Convert to fraction form
    6,751.69/10,585.69 = 10,585.69/x
  3. Step 3: Cross multiply
    6,751.69x = 10,585.69 × 10,585.69
  4. Step 4: Simplify right side
    6,751.69x = 112,056,779.85
  5. Step 5: Solve for x
    x = 112,056,779.85/6,751.69
  6. Step 6: Final answer
    x = 16,596.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.