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Finding the Third Proportional to 4,125 and 8,394.75

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Solution

The third proportional to 4,125 and 8,394.75 is: 17,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125 : 8,394.75 = 8,394.75 : x
  2. Step 2: Convert to fraction form
    4,125/8,394.75 = 8,394.75/x
  3. Step 3: Cross multiply
    4,125x = 8,394.75 × 8,394.75
  4. Step 4: Simplify right side
    4,125x = 70,471,827.56
  5. Step 5: Solve for x
    x = 70,471,827.56/4,125
  6. Step 6: Final answer
    x = 17,084.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.