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Finding the Third Proportional to 20,912 and 45,022

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Solution

The third proportional to 20,912 and 45,022 is: 96,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,912 : 45,022 = 45,022 : x
  2. Step 2: Convert to fraction form
    20,912/45,022 = 45,022/x
  3. Step 3: Cross multiply
    20,912x = 45,022 × 45,022
  4. Step 4: Simplify right side
    20,912x = 2,026,980,484
  5. Step 5: Solve for x
    x = 2,026,980,484/20,912
  6. Step 6: Final answer
    x = 96,929.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.