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Finding the Third Proportional to 4,019.06 and 8,614.41

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Solution

The third proportional to 4,019.06 and 8,614.41 is: 18,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.06 : 8,614.41 = 8,614.41 : x
  2. Step 2: Convert to fraction form
    4,019.06/8,614.41 = 8,614.41/x
  3. Step 3: Cross multiply
    4,019.06x = 8,614.41 × 8,614.41
  4. Step 4: Simplify right side
    4,019.06x = 74,207,995.04
  5. Step 5: Solve for x
    x = 74,207,995.04/4,019.06
  6. Step 6: Final answer
    x = 18,464.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.