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Finding the Third Proportional to 36,618 and 54,927

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Solution

The third proportional to 36,618 and 54,927 is: 82,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,618 : 54,927 = 54,927 : x
  2. Step 2: Convert to fraction form
    36,618/54,927 = 54,927/x
  3. Step 3: Cross multiply
    36,618x = 54,927 × 54,927
  4. Step 4: Simplify right side
    36,618x = 3,016,975,329
  5. Step 5: Solve for x
    x = 3,016,975,329/36,618
  6. Step 6: Final answer
    x = 82,390.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.