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Finding the Third Proportional to 2,416.22 and 3,828.94

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Solution

The third proportional to 2,416.22 and 3,828.94 is: 6,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.22 : 3,828.94 = 3,828.94 : x
  2. Step 2: Convert to fraction form
    2,416.22/3,828.94 = 3,828.94/x
  3. Step 3: Cross multiply
    2,416.22x = 3,828.94 × 3,828.94
  4. Step 4: Simplify right side
    2,416.22x = 14,660,762.38
  5. Step 5: Solve for x
    x = 14,660,762.38/2,416.22
  6. Step 6: Final answer
    x = 6,067.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.