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Finding the Third Proportional to 22,548 and 46,176

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Solution

The third proportional to 22,548 and 46,176 is: 94,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548 : 46,176 = 46,176 : x
  2. Step 2: Convert to fraction form
    22,548/46,176 = 46,176/x
  3. Step 3: Cross multiply
    22,548x = 46,176 × 46,176
  4. Step 4: Simplify right side
    22,548x = 2,132,222,976
  5. Step 5: Solve for x
    x = 2,132,222,976/22,548
  6. Step 6: Final answer
    x = 94,563.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.