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Finding the Third Proportional to 3,304.50 and 3,536.06

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Solution

The third proportional to 3,304.50 and 3,536.06 is: 3,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.50 : 3,536.06 = 3,536.06 : x
  2. Step 2: Convert to fraction form
    3,304.50/3,536.06 = 3,536.06/x
  3. Step 3: Cross multiply
    3,304.50x = 3,536.06 × 3,536.06
  4. Step 4: Simplify right side
    3,304.50x = 12,503,738.00
  5. Step 5: Solve for x
    x = 12,503,738.00/3,304.50
  6. Step 6: Final answer
    x = 3,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.