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Finding the Third Proportional to 16,082 and 24,106

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Solution

The third proportional to 16,082 and 24,106 is: 36,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082 : 24,106 = 24,106 : x
  2. Step 2: Convert to fraction form
    16,082/24,106 = 24,106/x
  3. Step 3: Cross multiply
    16,082x = 24,106 × 24,106
  4. Step 4: Simplify right side
    16,082x = 581,099,236
  5. Step 5: Solve for x
    x = 581,099,236/16,082
  6. Step 6: Final answer
    x = 36,133.52

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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.