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Finding the Third Proportional to 4,466.81 and 7,083.84

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Solution

The third proportional to 4,466.81 and 7,083.84 is: 11,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.81 : 7,083.84 = 7,083.84 : x
  2. Step 2: Convert to fraction form
    4,466.81/7,083.84 = 7,083.84/x
  3. Step 3: Cross multiply
    4,466.81x = 7,083.84 × 7,083.84
  4. Step 4: Simplify right side
    4,466.81x = 50,180,842.27
  5. Step 5: Solve for x
    x = 50,180,842.27/4,466.81
  6. Step 6: Final answer
    x = 11,234.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.