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Finding the Third Proportional to 34,299 and 82,618

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Solution

The third proportional to 34,299 and 82,618 is: 199,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,299 : 82,618 = 82,618 : x
  2. Step 2: Convert to fraction form
    34,299/82,618 = 82,618/x
  3. Step 3: Cross multiply
    34,299x = 82,618 × 82,618
  4. Step 4: Simplify right side
    34,299x = 6,825,733,924
  5. Step 5: Solve for x
    x = 6,825,733,924/34,299
  6. Step 6: Final answer
    x = 199,006.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.