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Finding the Third Proportional to 20,152 and 44,043

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Solution

The third proportional to 20,152 and 44,043 is: 96,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152 : 44,043 = 44,043 : x
  2. Step 2: Convert to fraction form
    20,152/44,043 = 44,043/x
  3. Step 3: Cross multiply
    20,152x = 44,043 × 44,043
  4. Step 4: Simplify right side
    20,152x = 1,939,785,849
  5. Step 5: Solve for x
    x = 1,939,785,849/20,152
  6. Step 6: Final answer
    x = 96,257.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.