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Finding the Third Proportional to 14,632 and 33,682

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Solution

The third proportional to 14,632 and 33,682 is: 77,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632 : 33,682 = 33,682 : x
  2. Step 2: Convert to fraction form
    14,632/33,682 = 33,682/x
  3. Step 3: Cross multiply
    14,632x = 33,682 × 33,682
  4. Step 4: Simplify right side
    14,632x = 1,134,477,124
  5. Step 5: Solve for x
    x = 1,134,477,124/14,632
  6. Step 6: Final answer
    x = 77,533.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.