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Finding the Third Proportional to 5,890.85 and 8,396.79

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Solution

The third proportional to 5,890.85 and 8,396.79 is: 11,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.85 : 8,396.79 = 8,396.79 : x
  2. Step 2: Convert to fraction form
    5,890.85/8,396.79 = 8,396.79/x
  3. Step 3: Cross multiply
    5,890.85x = 8,396.79 × 8,396.79
  4. Step 4: Simplify right side
    5,890.85x = 70,506,066.56
  5. Step 5: Solve for x
    x = 70,506,066.56/5,890.85
  6. Step 6: Final answer
    x = 11,968.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.