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Finding the Third Proportional to 33,930 and 44,618

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Solution

The third proportional to 33,930 and 44,618 is: 58,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930 : 44,618 = 44,618 : x
  2. Step 2: Convert to fraction form
    33,930/44,618 = 44,618/x
  3. Step 3: Cross multiply
    33,930x = 44,618 × 44,618
  4. Step 4: Simplify right side
    33,930x = 1,990,765,924
  5. Step 5: Solve for x
    x = 1,990,765,924/33,930
  6. Step 6: Final answer
    x = 58,672.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.