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Finding the Third Proportional to 8,216 and 18,080

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Solution

The third proportional to 8,216 and 18,080 is: 39,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 18,080 = 18,080 : x
  2. Step 2: Convert to fraction form
    8,216/18,080 = 18,080/x
  3. Step 3: Cross multiply
    8,216x = 18,080 × 18,080
  4. Step 4: Simplify right side
    8,216x = 326,886,400
  5. Step 5: Solve for x
    x = 326,886,400/8,216
  6. Step 6: Final answer
    x = 39,786.56

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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.