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Finding the Third Proportional to 20,906 and 45,668

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Solution

The third proportional to 20,906 and 45,668 is: 99,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906 : 45,668 = 45,668 : x
  2. Step 2: Convert to fraction form
    20,906/45,668 = 45,668/x
  3. Step 3: Cross multiply
    20,906x = 45,668 × 45,668
  4. Step 4: Simplify right side
    20,906x = 2,085,566,224
  5. Step 5: Solve for x
    x = 2,085,566,224/20,906
  6. Step 6: Final answer
    x = 99,759.22

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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.