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Finding the Third Proportional to 17,080 and 36,712

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Solution

The third proportional to 17,080 and 36,712 is: 78,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,080 : 36,712 = 36,712 : x
  2. Step 2: Convert to fraction form
    17,080/36,712 = 36,712/x
  3. Step 3: Cross multiply
    17,080x = 36,712 × 36,712
  4. Step 4: Simplify right side
    17,080x = 1,347,770,944
  5. Step 5: Solve for x
    x = 1,347,770,944/17,080
  6. Step 6: Final answer
    x = 78,909.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.