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Finding the Third Proportional to 3,335.55 and 6,766.98

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Solution

The third proportional to 3,335.55 and 6,766.98 is: 13,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.55 : 6,766.98 = 6,766.98 : x
  2. Step 2: Convert to fraction form
    3,335.55/6,766.98 = 6,766.98/x
  3. Step 3: Cross multiply
    3,335.55x = 6,766.98 × 6,766.98
  4. Step 4: Simplify right side
    3,335.55x = 45,792,024.66
  5. Step 5: Solve for x
    x = 45,792,024.66/3,335.55
  6. Step 6: Final answer
    x = 13,728.46

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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.