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Finding the Third Proportional to 20,064 and 30,630.38

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Solution

The third proportional to 20,064 and 30,630.38 is: 46,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064 : 30,630.38 = 30,630.38 : x
  2. Step 2: Convert to fraction form
    20,064/30,630.38 = 30,630.38/x
  3. Step 3: Cross multiply
    20,064x = 30,630.38 × 30,630.38
  4. Step 4: Simplify right side
    20,064x = 938,219,872.64
  5. Step 5: Solve for x
    x = 938,219,872.64/20,064
  6. Step 6: Final answer
    x = 46,761.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.