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Finding the Third Proportional to 4,209 and 5,793.75

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Solution

The third proportional to 4,209 and 5,793.75 is: 7,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 5,793.75 = 5,793.75 : x
  2. Step 2: Convert to fraction form
    4,209/5,793.75 = 5,793.75/x
  3. Step 3: Cross multiply
    4,209x = 5,793.75 × 5,793.75
  4. Step 4: Simplify right side
    4,209x = 33,567,539.06
  5. Step 5: Solve for x
    x = 33,567,539.06/4,209
  6. Step 6: Final answer
    x = 7,975.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.