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Finding the Third Proportional to 21,344 and 31,788

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Solution

The third proportional to 21,344 and 31,788 is: 47,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344 : 31,788 = 31,788 : x
  2. Step 2: Convert to fraction form
    21,344/31,788 = 31,788/x
  3. Step 3: Cross multiply
    21,344x = 31,788 × 31,788
  4. Step 4: Simplify right side
    21,344x = 1,010,476,944
  5. Step 5: Solve for x
    x = 1,010,476,944/21,344
  6. Step 6: Final answer
    x = 47,342.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.