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Finding the Third Proportional to 20,966 and 45,252

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Solution

The third proportional to 20,966 and 45,252 is: 97,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966 : 45,252 = 45,252 : x
  2. Step 2: Convert to fraction form
    20,966/45,252 = 45,252/x
  3. Step 3: Cross multiply
    20,966x = 45,252 × 45,252
  4. Step 4: Simplify right side
    20,966x = 2,047,743,504
  5. Step 5: Solve for x
    x = 2,047,743,504/20,966
  6. Step 6: Final answer
    x = 97,669.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.