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Finding the Third Proportional to 3,079.69 and 5,038.03

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Solution

The third proportional to 3,079.69 and 5,038.03 is: 8,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.69 : 5,038.03 = 5,038.03 : x
  2. Step 2: Convert to fraction form
    3,079.69/5,038.03 = 5,038.03/x
  3. Step 3: Cross multiply
    3,079.69x = 5,038.03 × 5,038.03
  4. Step 4: Simplify right side
    3,079.69x = 25,381,758.88
  5. Step 5: Solve for x
    x = 25,381,758.88/3,079.69
  6. Step 6: Final answer
    x = 8,241.67

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.