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Finding the Third Proportional to 3,921.19 and 8,457.19

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Solution

The third proportional to 3,921.19 and 8,457.19 is: 18,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.19 : 8,457.19 = 8,457.19 : x
  2. Step 2: Convert to fraction form
    3,921.19/8,457.19 = 8,457.19/x
  3. Step 3: Cross multiply
    3,921.19x = 8,457.19 × 8,457.19
  4. Step 4: Simplify right side
    3,921.19x = 71,524,020.41
  5. Step 5: Solve for x
    x = 71,524,020.41/3,921.19
  6. Step 6: Final answer
    x = 18,240.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.