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Finding the Third Proportional to 22,990 and 46,948

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Solution

The third proportional to 22,990 and 46,948 is: 95,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990 : 46,948 = 46,948 : x
  2. Step 2: Convert to fraction form
    22,990/46,948 = 46,948/x
  3. Step 3: Cross multiply
    22,990x = 46,948 × 46,948
  4. Step 4: Simplify right side
    22,990x = 2,204,114,704
  5. Step 5: Solve for x
    x = 2,204,114,704/22,990
  6. Step 6: Final answer
    x = 95,872.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.