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Finding the Third Proportional to 20,444 and 45,530

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Solution

The third proportional to 20,444 and 45,530 is: 101,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,444 : 45,530 = 45,530 : x
  2. Step 2: Convert to fraction form
    20,444/45,530 = 45,530/x
  3. Step 3: Cross multiply
    20,444x = 45,530 × 45,530
  4. Step 4: Simplify right side
    20,444x = 2,072,980,900
  5. Step 5: Solve for x
    x = 2,072,980,900/20,444
  6. Step 6: Final answer
    x = 101,398.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.