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Finding the Third Proportional to 6,823 and 14,618

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Solution

The third proportional to 6,823 and 14,618 is: 31,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 14,618 = 14,618 : x
  2. Step 2: Convert to fraction form
    6,823/14,618 = 14,618/x
  3. Step 3: Cross multiply
    6,823x = 14,618 × 14,618
  4. Step 4: Simplify right side
    6,823x = 213,685,924
  5. Step 5: Solve for x
    x = 213,685,924/6,823
  6. Step 6: Final answer
    x = 31,318.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.