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Finding the Third Proportional to 20,972 and 32,733

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Solution

The third proportional to 20,972 and 32,733 is: 51,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972 : 32,733 = 32,733 : x
  2. Step 2: Convert to fraction form
    20,972/32,733 = 32,733/x
  3. Step 3: Cross multiply
    20,972x = 32,733 × 32,733
  4. Step 4: Simplify right side
    20,972x = 1,071,449,289
  5. Step 5: Solve for x
    x = 1,071,449,289/20,972
  6. Step 6: Final answer
    x = 51,089.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.