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Finding the Third Proportional to 22,325 and 46,947

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Solution

The third proportional to 22,325 and 46,947 is: 98,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325 : 46,947 = 46,947 : x
  2. Step 2: Convert to fraction form
    22,325/46,947 = 46,947/x
  3. Step 3: Cross multiply
    22,325x = 46,947 × 46,947
  4. Step 4: Simplify right side
    22,325x = 2,204,020,809
  5. Step 5: Solve for x
    x = 2,204,020,809/22,325
  6. Step 6: Final answer
    x = 98,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.