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Finding the Third Proportional to 22,096 and 46,751

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Solution

The third proportional to 22,096 and 46,751 is: 98,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096 : 46,751 = 46,751 : x
  2. Step 2: Convert to fraction form
    22,096/46,751 = 46,751/x
  3. Step 3: Cross multiply
    22,096x = 46,751 × 46,751
  4. Step 4: Simplify right side
    22,096x = 2,185,656,001
  5. Step 5: Solve for x
    x = 2,185,656,001/22,096
  6. Step 6: Final answer
    x = 98,916.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.