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Finding the Third Proportional to 3,294.75 and 6,420.75

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Solution

The third proportional to 3,294.75 and 6,420.75 is: 12,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.75 : 6,420.75 = 6,420.75 : x
  2. Step 2: Convert to fraction form
    3,294.75/6,420.75 = 6,420.75/x
  3. Step 3: Cross multiply
    3,294.75x = 6,420.75 × 6,420.75
  4. Step 4: Simplify right side
    3,294.75x = 41,226,030.56
  5. Step 5: Solve for x
    x = 41,226,030.56/3,294.75
  6. Step 6: Final answer
    x = 12,512.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.