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Finding the Third Proportional to 21,530 and 31,443

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Solution

The third proportional to 21,530 and 31,443 is: 45,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530 : 31,443 = 31,443 : x
  2. Step 2: Convert to fraction form
    21,530/31,443 = 31,443/x
  3. Step 3: Cross multiply
    21,530x = 31,443 × 31,443
  4. Step 4: Simplify right side
    21,530x = 988,662,249
  5. Step 5: Solve for x
    x = 988,662,249/21,530
  6. Step 6: Final answer
    x = 45,920.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.