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Finding the Third Proportional to 27,618 and 37,299

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Solution

The third proportional to 27,618 and 37,299 is: 50,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,618 : 37,299 = 37,299 : x
  2. Step 2: Convert to fraction form
    27,618/37,299 = 37,299/x
  3. Step 3: Cross multiply
    27,618x = 37,299 × 37,299
  4. Step 4: Simplify right side
    27,618x = 1,391,215,401
  5. Step 5: Solve for x
    x = 1,391,215,401/27,618
  6. Step 6: Final answer
    x = 50,373.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.