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Finding the Third Proportional to 20,983.50 and 44,559

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Solution

The third proportional to 20,983.50 and 44,559 is: 94,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.50 : 44,559 = 44,559 : x
  2. Step 2: Convert to fraction form
    20,983.50/44,559 = 44,559/x
  3. Step 3: Cross multiply
    20,983.50x = 44,559 × 44,559
  4. Step 4: Simplify right side
    20,983.50x = 1,985,504,481
  5. Step 5: Solve for x
    x = 1,985,504,481/20,983.50
  6. Step 6: Final answer
    x = 94,622.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.