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Finding the Third Proportional to 20,549 and 30,175.50

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Solution

The third proportional to 20,549 and 30,175.50 is: 44,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549 : 30,175.50 = 30,175.50 : x
  2. Step 2: Convert to fraction form
    20,549/30,175.50 = 30,175.50/x
  3. Step 3: Cross multiply
    20,549x = 30,175.50 × 30,175.50
  4. Step 4: Simplify right side
    20,549x = 910,560,800.25
  5. Step 5: Solve for x
    x = 910,560,800.25/20,549
  6. Step 6: Final answer
    x = 44,311.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.