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Finding the Third Proportional to 12,796 and 17,080

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Solution

The third proportional to 12,796 and 17,080 is: 22,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796 : 17,080 = 17,080 : x
  2. Step 2: Convert to fraction form
    12,796/17,080 = 17,080/x
  3. Step 3: Cross multiply
    12,796x = 17,080 × 17,080
  4. Step 4: Simplify right side
    12,796x = 291,726,400
  5. Step 5: Solve for x
    x = 291,726,400/12,796
  6. Step 6: Final answer
    x = 22,798.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.