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Finding the Third Proportional to 18,618 and 40,519

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Solution

The third proportional to 18,618 and 40,519 is: 88,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,618 : 40,519 = 40,519 : x
  2. Step 2: Convert to fraction form
    18,618/40,519 = 40,519/x
  3. Step 3: Cross multiply
    18,618x = 40,519 × 40,519
  4. Step 4: Simplify right side
    18,618x = 1,641,789,361
  5. Step 5: Solve for x
    x = 1,641,789,361/18,618
  6. Step 6: Final answer
    x = 88,182.91

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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.