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Finding the Third Proportional to 8,419 and 18,311.50

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Solution

The third proportional to 8,419 and 18,311.50 is: 39,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419 : 18,311.50 = 18,311.50 : x
  2. Step 2: Convert to fraction form
    8,419/18,311.50 = 18,311.50/x
  3. Step 3: Cross multiply
    8,419x = 18,311.50 × 18,311.50
  4. Step 4: Simplify right side
    8,419x = 335,311,032.25
  5. Step 5: Solve for x
    x = 335,311,032.25/8,419
  6. Step 6: Final answer
    x = 39,827.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.