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Finding the Third Proportional to 12,618 and 17,647

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Solution

The third proportional to 12,618 and 17,647 is: 24,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618 : 17,647 = 17,647 : x
  2. Step 2: Convert to fraction form
    12,618/17,647 = 17,647/x
  3. Step 3: Cross multiply
    12,618x = 17,647 × 17,647
  4. Step 4: Simplify right side
    12,618x = 311,416,609
  5. Step 5: Solve for x
    x = 311,416,609/12,618
  6. Step 6: Final answer
    x = 24,680.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.