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Finding the Third Proportional to 33,149 and 64,618

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Solution

The third proportional to 33,149 and 64,618 is: 125,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149 : 64,618 = 64,618 : x
  2. Step 2: Convert to fraction form
    33,149/64,618 = 64,618/x
  3. Step 3: Cross multiply
    33,149x = 64,618 × 64,618
  4. Step 4: Simplify right side
    33,149x = 4,175,485,924
  5. Step 5: Solve for x
    x = 4,175,485,924/33,149
  6. Step 6: Final answer
    x = 125,961.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.