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Finding the Third Proportional to 3,557.25 and 7,583.63

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Solution

The third proportional to 3,557.25 and 7,583.63 is: 16,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.25 : 7,583.63 = 7,583.63 : x
  2. Step 2: Convert to fraction form
    3,557.25/7,583.63 = 7,583.63/x
  3. Step 3: Cross multiply
    3,557.25x = 7,583.63 × 7,583.63
  4. Step 4: Simplify right side
    3,557.25x = 57,511,368.14
  5. Step 5: Solve for x
    x = 57,511,368.14/3,557.25
  6. Step 6: Final answer
    x = 16,167.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.