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Finding the Third Proportional to 3,477.38 and 7,241.63

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Solution

The third proportional to 3,477.38 and 7,241.63 is: 15,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.38 : 7,241.63 = 7,241.63 : x
  2. Step 2: Convert to fraction form
    3,477.38/7,241.63 = 7,241.63/x
  3. Step 3: Cross multiply
    3,477.38x = 7,241.63 × 7,241.63
  4. Step 4: Simplify right side
    3,477.38x = 52,441,132.64
  5. Step 5: Solve for x
    x = 52,441,132.64/3,477.38
  6. Step 6: Final answer
    x = 15,080.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.