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Finding the Third Proportional to 1,828.20 and 3,929.77

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Solution

The third proportional to 1,828.20 and 3,929.77 is: 8,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.20 : 3,929.77 = 3,929.77 : x
  2. Step 2: Convert to fraction form
    1,828.20/3,929.77 = 3,929.77/x
  3. Step 3: Cross multiply
    1,828.20x = 3,929.77 × 3,929.77
  4. Step 4: Simplify right side
    1,828.20x = 15,443,057.87
  5. Step 5: Solve for x
    x = 15,443,057.87/1,828.20
  6. Step 6: Final answer
    x = 8,447.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.