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Finding the Third Proportional to 20,782.50 and 44,542.50

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Solution

The third proportional to 20,782.50 and 44,542.50 is: 95,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.50 : 44,542.50 = 44,542.50 : x
  2. Step 2: Convert to fraction form
    20,782.50/44,542.50 = 44,542.50/x
  3. Step 3: Cross multiply
    20,782.50x = 44,542.50 × 44,542.50
  4. Step 4: Simplify right side
    20,782.50x = 1,984,034,306.25
  5. Step 5: Solve for x
    x = 1,984,034,306.25/20,782.50
  6. Step 6: Final answer
    x = 95,466.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.