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Finding the Third Proportional to 8,618 and 19,185

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Solution

The third proportional to 8,618 and 19,185 is: 42,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618 : 19,185 = 19,185 : x
  2. Step 2: Convert to fraction form
    8,618/19,185 = 19,185/x
  3. Step 3: Cross multiply
    8,618x = 19,185 × 19,185
  4. Step 4: Simplify right side
    8,618x = 368,064,225
  5. Step 5: Solve for x
    x = 368,064,225/8,618
  6. Step 6: Final answer
    x = 42,708.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.