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Finding the Third Proportional to 20,047 and 29,180

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Solution

The third proportional to 20,047 and 29,180 is: 42,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047 : 29,180 = 29,180 : x
  2. Step 2: Convert to fraction form
    20,047/29,180 = 29,180/x
  3. Step 3: Cross multiply
    20,047x = 29,180 × 29,180
  4. Step 4: Simplify right side
    20,047x = 851,472,400
  5. Step 5: Solve for x
    x = 851,472,400/20,047
  6. Step 6: Final answer
    x = 42,473.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.