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Finding the Third Proportional to 10,618 and 18,698

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Solution

The third proportional to 10,618 and 18,698 is: 32,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 18,698 = 18,698 : x
  2. Step 2: Convert to fraction form
    10,618/18,698 = 18,698/x
  3. Step 3: Cross multiply
    10,618x = 18,698 × 18,698
  4. Step 4: Simplify right side
    10,618x = 349,615,204
  5. Step 5: Solve for x
    x = 349,615,204/10,618
  6. Step 6: Final answer
    x = 32,926.65

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.