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Finding the Third Proportional to 20,454 and 44,130

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Solution

The third proportional to 20,454 and 44,130 is: 95,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454 : 44,130 = 44,130 : x
  2. Step 2: Convert to fraction form
    20,454/44,130 = 44,130/x
  3. Step 3: Cross multiply
    20,454x = 44,130 × 44,130
  4. Step 4: Simplify right side
    20,454x = 1,947,456,900
  5. Step 5: Solve for x
    x = 1,947,456,900/20,454
  6. Step 6: Final answer
    x = 95,211.54

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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.