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Finding the Third Proportional to 13,609.69 and 28,466.86

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Solution

The third proportional to 13,609.69 and 28,466.86 is: 59,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.69 : 28,466.86 = 28,466.86 : x
  2. Step 2: Convert to fraction form
    13,609.69/28,466.86 = 28,466.86/x
  3. Step 3: Cross multiply
    13,609.69x = 28,466.86 × 28,466.86
  4. Step 4: Simplify right side
    13,609.69x = 810,362,082.68
  5. Step 5: Solve for x
    x = 810,362,082.68/13,609.69
  6. Step 6: Final answer
    x = 59,543.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.