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Finding the Third Proportional to 4,016.63 and 8,650.03

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Solution

The third proportional to 4,016.63 and 8,650.03 is: 18,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.63 : 8,650.03 = 8,650.03 : x
  2. Step 2: Convert to fraction form
    4,016.63/8,650.03 = 8,650.03/x
  3. Step 3: Cross multiply
    4,016.63x = 8,650.03 × 8,650.03
  4. Step 4: Simplify right side
    4,016.63x = 74,823,040.63
  5. Step 5: Solve for x
    x = 74,823,040.63/4,016.63
  6. Step 6: Final answer
    x = 18,628.34

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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.