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Finding the Third Proportional to 20,674 and 44,618

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Solution

The third proportional to 20,674 and 44,618 is: 96,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674 : 44,618 = 44,618 : x
  2. Step 2: Convert to fraction form
    20,674/44,618 = 44,618/x
  3. Step 3: Cross multiply
    20,674x = 44,618 × 44,618
  4. Step 4: Simplify right side
    20,674x = 1,990,765,924
  5. Step 5: Solve for x
    x = 1,990,765,924/20,674
  6. Step 6: Final answer
    x = 96,293.21

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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.