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Finding the Third Proportional to 20,682 and 29,542.50

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Solution

The third proportional to 20,682 and 29,542.50 is: 42,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 29,542.50 = 29,542.50 : x
  2. Step 2: Convert to fraction form
    20,682/29,542.50 = 29,542.50/x
  3. Step 3: Cross multiply
    20,682x = 29,542.50 × 29,542.50
  4. Step 4: Simplify right side
    20,682x = 872,759,306.25
  5. Step 5: Solve for x
    x = 872,759,306.25/20,682
  6. Step 6: Final answer
    x = 42,198.98

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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.