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Finding the Third Proportional to 17,618 and 37,990

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Solution

The third proportional to 17,618 and 37,990 is: 81,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618 : 37,990 = 37,990 : x
  2. Step 2: Convert to fraction form
    17,618/37,990 = 37,990/x
  3. Step 3: Cross multiply
    17,618x = 37,990 × 37,990
  4. Step 4: Simplify right side
    17,618x = 1,443,240,100
  5. Step 5: Solve for x
    x = 1,443,240,100/17,618
  6. Step 6: Final answer
    x = 81,918.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.