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Finding the Third Proportional to 3,080 and 7,322

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Solution

The third proportional to 3,080 and 7,322 is: 17,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080 : 7,322 = 7,322 : x
  2. Step 2: Convert to fraction form
    3,080/7,322 = 7,322/x
  3. Step 3: Cross multiply
    3,080x = 7,322 × 7,322
  4. Step 4: Simplify right side
    3,080x = 53,611,684
  5. Step 5: Solve for x
    x = 53,611,684/3,080
  6. Step 6: Final answer
    x = 17,406.39

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.