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Finding the Third Proportional to 20,080 and 43,399

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Solution

The third proportional to 20,080 and 43,399 is: 93,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080 : 43,399 = 43,399 : x
  2. Step 2: Convert to fraction form
    20,080/43,399 = 43,399/x
  3. Step 3: Cross multiply
    20,080x = 43,399 × 43,399
  4. Step 4: Simplify right side
    20,080x = 1,883,473,201
  5. Step 5: Solve for x
    x = 1,883,473,201/20,080
  6. Step 6: Final answer
    x = 93,798.47

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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.