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Finding the Third Proportional to 1,828.13 and 3,959.91

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Solution

The third proportional to 1,828.13 and 3,959.91 is: 8,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.13 : 3,959.91 = 3,959.91 : x
  2. Step 2: Convert to fraction form
    1,828.13/3,959.91 = 3,959.91/x
  3. Step 3: Cross multiply
    1,828.13x = 3,959.91 × 3,959.91
  4. Step 4: Simplify right side
    1,828.13x = 15,680,857.51
  5. Step 5: Solve for x
    x = 15,680,857.51/1,828.13
  6. Step 6: Final answer
    x = 8,577.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.