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Finding the Third Proportional to 18,188 and 39,618

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Solution

The third proportional to 18,188 and 39,618 is: 86,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,188 : 39,618 = 39,618 : x
  2. Step 2: Convert to fraction form
    18,188/39,618 = 39,618/x
  3. Step 3: Cross multiply
    18,188x = 39,618 × 39,618
  4. Step 4: Simplify right side
    18,188x = 1,569,585,924
  5. Step 5: Solve for x
    x = 1,569,585,924/18,188
  6. Step 6: Final answer
    x = 86,297.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.