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Finding the Third Proportional to 20,880 and 43,488

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Solution

The third proportional to 20,880 and 43,488 is: 90,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880 : 43,488 = 43,488 : x
  2. Step 2: Convert to fraction form
    20,880/43,488 = 43,488/x
  3. Step 3: Cross multiply
    20,880x = 43,488 × 43,488
  4. Step 4: Simplify right side
    20,880x = 1,891,206,144
  5. Step 5: Solve for x
    x = 1,891,206,144/20,880
  6. Step 6: Final answer
    x = 90,575.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.