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Finding the Third Proportional to 18,170 and 37,501

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Solution

The third proportional to 18,170 and 37,501 is: 77,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,170 : 37,501 = 37,501 : x
  2. Step 2: Convert to fraction form
    18,170/37,501 = 37,501/x
  3. Step 3: Cross multiply
    18,170x = 37,501 × 37,501
  4. Step 4: Simplify right side
    18,170x = 1,406,325,001
  5. Step 5: Solve for x
    x = 1,406,325,001/18,170
  6. Step 6: Final answer
    x = 77,398.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.