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Finding the Third Proportional to 20,020 and 43,616

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Solution

The third proportional to 20,020 and 43,616 is: 95,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020 : 43,616 = 43,616 : x
  2. Step 2: Convert to fraction form
    20,020/43,616 = 43,616/x
  3. Step 3: Cross multiply
    20,020x = 43,616 × 43,616
  4. Step 4: Simplify right side
    20,020x = 1,902,355,456
  5. Step 5: Solve for x
    x = 1,902,355,456/20,020
  6. Step 6: Final answer
    x = 95,022.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.