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Finding the Third Proportional to 14,852 and 23,682

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Solution

The third proportional to 14,852 and 23,682 is: 37,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852 : 23,682 = 23,682 : x
  2. Step 2: Convert to fraction form
    14,852/23,682 = 23,682/x
  3. Step 3: Cross multiply
    14,852x = 23,682 × 23,682
  4. Step 4: Simplify right side
    14,852x = 560,837,124
  5. Step 5: Solve for x
    x = 560,837,124/14,852
  6. Step 6: Final answer
    x = 37,761.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.