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Finding the Third Proportional to 2,492.44 and 3,828.09

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Solution

The third proportional to 2,492.44 and 3,828.09 is: 5,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.44 : 3,828.09 = 3,828.09 : x
  2. Step 2: Convert to fraction form
    2,492.44/3,828.09 = 3,828.09/x
  3. Step 3: Cross multiply
    2,492.44x = 3,828.09 × 3,828.09
  4. Step 4: Simplify right side
    2,492.44x = 14,654,301.76
  5. Step 5: Solve for x
    x = 14,654,301.76/2,492.44
  6. Step 6: Final answer
    x = 5,879.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.