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Finding the Third Proportional to 20,772 and 36,180

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Solution

The third proportional to 20,772 and 36,180 is: 63,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772 : 36,180 = 36,180 : x
  2. Step 2: Convert to fraction form
    20,772/36,180 = 36,180/x
  3. Step 3: Cross multiply
    20,772x = 36,180 × 36,180
  4. Step 4: Simplify right side
    20,772x = 1,308,992,400
  5. Step 5: Solve for x
    x = 1,308,992,400/20,772
  6. Step 6: Final answer
    x = 63,017.16

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.