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Finding the Third Proportional to 28,183 and 42,185

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Solution

The third proportional to 28,183 and 42,185 is: 63,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183 : 42,185 = 42,185 : x
  2. Step 2: Convert to fraction form
    28,183/42,185 = 42,185/x
  3. Step 3: Cross multiply
    28,183x = 42,185 × 42,185
  4. Step 4: Simplify right side
    28,183x = 1,779,574,225
  5. Step 5: Solve for x
    x = 1,779,574,225/28,183
  6. Step 6: Final answer
    x = 63,143.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.