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Finding the Third Proportional to 2,340.77 and 5,028.96

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Solution

The third proportional to 2,340.77 and 5,028.96 is: 10,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.77 : 5,028.96 = 5,028.96 : x
  2. Step 2: Convert to fraction form
    2,340.77/5,028.96 = 5,028.96/x
  3. Step 3: Cross multiply
    2,340.77x = 5,028.96 × 5,028.96
  4. Step 4: Simplify right side
    2,340.77x = 25,290,448.11
  5. Step 5: Solve for x
    x = 25,290,448.11/2,340.77
  6. Step 6: Final answer
    x = 10,804.31

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Why These Related Problems?

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