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Finding the Third Proportional to 20,458 and 44,135

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Solution

The third proportional to 20,458 and 44,135 is: 95,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458 : 44,135 = 44,135 : x
  2. Step 2: Convert to fraction form
    20,458/44,135 = 44,135/x
  3. Step 3: Cross multiply
    20,458x = 44,135 × 44,135
  4. Step 4: Simplify right side
    20,458x = 1,947,898,225
  5. Step 5: Solve for x
    x = 1,947,898,225/20,458
  6. Step 6: Final answer
    x = 95,214.50

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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.