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Finding the Third Proportional to 11,223 and 16,618

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Solution

The third proportional to 11,223 and 16,618 is: 24,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223 : 16,618 = 16,618 : x
  2. Step 2: Convert to fraction form
    11,223/16,618 = 16,618/x
  3. Step 3: Cross multiply
    11,223x = 16,618 × 16,618
  4. Step 4: Simplify right side
    11,223x = 276,157,924
  5. Step 5: Solve for x
    x = 276,157,924/11,223
  6. Step 6: Final answer
    x = 24,606.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.