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Finding the Third Proportional to 23,166 and 50,516

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Solution

The third proportional to 23,166 and 50,516 is: 110,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166 : 50,516 = 50,516 : x
  2. Step 2: Convert to fraction form
    23,166/50,516 = 50,516/x
  3. Step 3: Cross multiply
    23,166x = 50,516 × 50,516
  4. Step 4: Simplify right side
    23,166x = 2,551,866,256
  5. Step 5: Solve for x
    x = 2,551,866,256/23,166
  6. Step 6: Final answer
    x = 110,155.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.