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Finding the Third Proportional to 20,511 and 48,391.50

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Solution

The third proportional to 20,511 and 48,391.50 is: 114,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511 : 48,391.50 = 48,391.50 : x
  2. Step 2: Convert to fraction form
    20,511/48,391.50 = 48,391.50/x
  3. Step 3: Cross multiply
    20,511x = 48,391.50 × 48,391.50
  4. Step 4: Simplify right side
    20,511x = 2,341,737,272.25
  5. Step 5: Solve for x
    x = 2,341,737,272.25/20,511
  6. Step 6: Final answer
    x = 114,169.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.