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Finding the Third Proportional to 3,657.81 and 7,473.67

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Solution

The third proportional to 3,657.81 and 7,473.67 is: 15,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.81 : 7,473.67 = 7,473.67 : x
  2. Step 2: Convert to fraction form
    3,657.81/7,473.67 = 7,473.67/x
  3. Step 3: Cross multiply
    3,657.81x = 7,473.67 × 7,473.67
  4. Step 4: Simplify right side
    3,657.81x = 55,855,800.49
  5. Step 5: Solve for x
    x = 55,855,800.49/3,657.81
  6. Step 6: Final answer
    x = 15,270.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.