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Finding the Third Proportional to 20,452.50 and 44,128

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Solution

The third proportional to 20,452.50 and 44,128 is: 95,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.50 : 44,128 = 44,128 : x
  2. Step 2: Convert to fraction form
    20,452.50/44,128 = 44,128/x
  3. Step 3: Cross multiply
    20,452.50x = 44,128 × 44,128
  4. Step 4: Simplify right side
    20,452.50x = 1,947,280,384
  5. Step 5: Solve for x
    x = 1,947,280,384/20,452.50
  6. Step 6: Final answer
    x = 95,209.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.