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Finding the Third Proportional to 16,143 and 23,682

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Solution

The third proportional to 16,143 and 23,682 is: 34,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143 : 23,682 = 23,682 : x
  2. Step 2: Convert to fraction form
    16,143/23,682 = 23,682/x
  3. Step 3: Cross multiply
    16,143x = 23,682 × 23,682
  4. Step 4: Simplify right side
    16,143x = 560,837,124
  5. Step 5: Solve for x
    x = 560,837,124/16,143
  6. Step 6: Final answer
    x = 34,741.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.