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Finding the Third Proportional to 3,986.25 and 8,654.63

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Solution

The third proportional to 3,986.25 and 8,654.63 is: 18,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.25 : 8,654.63 = 8,654.63 : x
  2. Step 2: Convert to fraction form
    3,986.25/8,654.63 = 8,654.63/x
  3. Step 3: Cross multiply
    3,986.25x = 8,654.63 × 8,654.63
  4. Step 4: Simplify right side
    3,986.25x = 74,902,533.89
  5. Step 5: Solve for x
    x = 74,902,533.89/3,986.25
  6. Step 6: Final answer
    x = 18,790.22

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Why These Related Problems?

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