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Finding the Third Proportional to 2,508.79 and 3,828.67

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Solution

The third proportional to 2,508.79 and 3,828.67 is: 5,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.79 : 3,828.67 = 3,828.67 : x
  2. Step 2: Convert to fraction form
    2,508.79/3,828.67 = 3,828.67/x
  3. Step 3: Cross multiply
    2,508.79x = 3,828.67 × 3,828.67
  4. Step 4: Simplify right side
    2,508.79x = 14,658,743.28
  5. Step 5: Solve for x
    x = 14,658,743.28/2,508.79
  6. Step 6: Final answer
    x = 5,842.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.