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Finding the Third Proportional to 3,494.81 and 7,225.88

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Solution

The third proportional to 3,494.81 and 7,225.88 is: 14,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.81 : 7,225.88 = 7,225.88 : x
  2. Step 2: Convert to fraction form
    3,494.81/7,225.88 = 7,225.88/x
  3. Step 3: Cross multiply
    3,494.81x = 7,225.88 × 7,225.88
  4. Step 4: Simplify right side
    3,494.81x = 52,213,269.52
  5. Step 5: Solve for x
    x = 52,213,269.52/3,494.81
  6. Step 6: Final answer
    x = 14,940.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.