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Finding the Third Proportional to 20,009 and 43,618

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Solution

The third proportional to 20,009 and 43,618 is: 95,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 43,618 = 43,618 : x
  2. Step 2: Convert to fraction form
    20,009/43,618 = 43,618/x
  3. Step 3: Cross multiply
    20,009x = 43,618 × 43,618
  4. Step 4: Simplify right side
    20,009x = 1,902,529,924
  5. Step 5: Solve for x
    x = 1,902,529,924/20,009
  6. Step 6: Final answer
    x = 95,083.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.