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Finding the Third Proportional to 3,647.25 and 8,888.63

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Solution

The third proportional to 3,647.25 and 8,888.63 is: 21,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.25 : 8,888.63 = 8,888.63 : x
  2. Step 2: Convert to fraction form
    3,647.25/8,888.63 = 8,888.63/x
  3. Step 3: Cross multiply
    3,647.25x = 8,888.63 × 8,888.63
  4. Step 4: Simplify right side
    3,647.25x = 79,007,654.39
  5. Step 5: Solve for x
    x = 79,007,654.39/3,647.25
  6. Step 6: Final answer
    x = 21,662.25

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.