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Finding the Third Proportional to 3,669.19 and 5,583.09

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Solution

The third proportional to 3,669.19 and 5,583.09 is: 8,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.19 : 5,583.09 = 5,583.09 : x
  2. Step 2: Convert to fraction form
    3,669.19/5,583.09 = 5,583.09/x
  3. Step 3: Cross multiply
    3,669.19x = 5,583.09 × 5,583.09
  4. Step 4: Simplify right side
    3,669.19x = 31,170,935.82
  5. Step 5: Solve for x
    x = 31,170,935.82/3,669.19
  6. Step 6: Final answer
    x = 8,495.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.