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Finding the Third Proportional to 20,141 and 28,732

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Solution

The third proportional to 20,141 and 28,732 is: 40,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141 : 28,732 = 28,732 : x
  2. Step 2: Convert to fraction form
    20,141/28,732 = 28,732/x
  3. Step 3: Cross multiply
    20,141x = 28,732 × 28,732
  4. Step 4: Simplify right side
    20,141x = 825,527,824
  5. Step 5: Solve for x
    x = 825,527,824/20,141
  6. Step 6: Final answer
    x = 40,987.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.