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Finding the Third Proportional to 3,424 and 7,522

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Solution

The third proportional to 3,424 and 7,522 is: 16,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424 : 7,522 = 7,522 : x
  2. Step 2: Convert to fraction form
    3,424/7,522 = 7,522/x
  3. Step 3: Cross multiply
    3,424x = 7,522 × 7,522
  4. Step 4: Simplify right side
    3,424x = 56,580,484
  5. Step 5: Solve for x
    x = 56,580,484/3,424
  6. Step 6: Final answer
    x = 16,524.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.