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Finding the Third Proportional to 14,652 and 33,732

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Solution

The third proportional to 14,652 and 33,732 is: 77,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652 : 33,732 = 33,732 : x
  2. Step 2: Convert to fraction form
    14,652/33,732 = 33,732/x
  3. Step 3: Cross multiply
    14,652x = 33,732 × 33,732
  4. Step 4: Simplify right side
    14,652x = 1,137,847,824
  5. Step 5: Solve for x
    x = 1,137,847,824/14,652
  6. Step 6: Final answer
    x = 77,658.19

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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.