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Finding the Third Proportional to 20,960 and 45,606

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Solution

The third proportional to 20,960 and 45,606 is: 99,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960 : 45,606 = 45,606 : x
  2. Step 2: Convert to fraction form
    20,960/45,606 = 45,606/x
  3. Step 3: Cross multiply
    20,960x = 45,606 × 45,606
  4. Step 4: Simplify right side
    20,960x = 2,079,907,236
  5. Step 5: Solve for x
    x = 2,079,907,236/20,960
  6. Step 6: Final answer
    x = 99,232.22

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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.