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Finding the Third Proportional to 27,618 and 41,427

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Solution

The third proportional to 27,618 and 41,427 is: 62,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,618 : 41,427 = 41,427 : x
  2. Step 2: Convert to fraction form
    27,618/41,427 = 41,427/x
  3. Step 3: Cross multiply
    27,618x = 41,427 × 41,427
  4. Step 4: Simplify right side
    27,618x = 1,716,196,329
  5. Step 5: Solve for x
    x = 1,716,196,329/27,618
  6. Step 6: Final answer
    x = 62,140.50

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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.