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Finding the Third Proportional to 20,536 and 30,073

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Solution

The third proportional to 20,536 and 30,073 is: 44,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536 : 30,073 = 30,073 : x
  2. Step 2: Convert to fraction form
    20,536/30,073 = 30,073/x
  3. Step 3: Cross multiply
    20,536x = 30,073 × 30,073
  4. Step 4: Simplify right side
    20,536x = 904,385,329
  5. Step 5: Solve for x
    x = 904,385,329/20,536
  6. Step 6: Final answer
    x = 44,039.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.