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Finding the Third Proportional to 22,120 and 46,736

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Solution

The third proportional to 22,120 and 46,736 is: 98,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120 : 46,736 = 46,736 : x
  2. Step 2: Convert to fraction form
    22,120/46,736 = 46,736/x
  3. Step 3: Cross multiply
    22,120x = 46,736 × 46,736
  4. Step 4: Simplify right side
    22,120x = 2,184,253,696
  5. Step 5: Solve for x
    x = 2,184,253,696/22,120
  6. Step 6: Final answer
    x = 98,745.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.