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Finding the Third Proportional to 3,616.95 and 7,334.51

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Solution

The third proportional to 3,616.95 and 7,334.51 is: 14,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.95 : 7,334.51 = 7,334.51 : x
  2. Step 2: Convert to fraction form
    3,616.95/7,334.51 = 7,334.51/x
  3. Step 3: Cross multiply
    3,616.95x = 7,334.51 × 7,334.51
  4. Step 4: Simplify right side
    3,616.95x = 53,795,004.85
  5. Step 5: Solve for x
    x = 53,795,004.85/3,616.95
  6. Step 6: Final answer
    x = 14,873.05

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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.