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Finding the Third Proportional to 21,444 and 31,212

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Solution

The third proportional to 21,444 and 31,212 is: 45,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444 : 31,212 = 31,212 : x
  2. Step 2: Convert to fraction form
    21,444/31,212 = 31,212/x
  3. Step 3: Cross multiply
    21,444x = 31,212 × 31,212
  4. Step 4: Simplify right side
    21,444x = 974,188,944
  5. Step 5: Solve for x
    x = 974,188,944/21,444
  6. Step 6: Final answer
    x = 45,429.44

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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.