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Finding the Third Proportional to 4,026 and 8,165.75

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Solution

The third proportional to 4,026 and 8,165.75 is: 16,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026 : 8,165.75 = 8,165.75 : x
  2. Step 2: Convert to fraction form
    4,026/8,165.75 = 8,165.75/x
  3. Step 3: Cross multiply
    4,026x = 8,165.75 × 8,165.75
  4. Step 4: Simplify right side
    4,026x = 66,679,473.06
  5. Step 5: Solve for x
    x = 66,679,473.06/4,026
  6. Step 6: Final answer
    x = 16,562.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.