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Finding the Third Proportional to 17,321 and 37,012

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Solution

The third proportional to 17,321 and 37,012 is: 79,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321 : 37,012 = 37,012 : x
  2. Step 2: Convert to fraction form
    17,321/37,012 = 37,012/x
  3. Step 3: Cross multiply
    17,321x = 37,012 × 37,012
  4. Step 4: Simplify right side
    17,321x = 1,369,888,144
  5. Step 5: Solve for x
    x = 1,369,888,144/17,321
  6. Step 6: Final answer
    x = 79,088.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.