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Finding the Third Proportional to 21,976.31 and 35,029.97

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Solution

The third proportional to 21,976.31 and 35,029.97 is: 55,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.31 : 35,029.97 = 35,029.97 : x
  2. Step 2: Convert to fraction form
    21,976.31/35,029.97 = 35,029.97/x
  3. Step 3: Cross multiply
    21,976.31x = 35,029.97 × 35,029.97
  4. Step 4: Simplify right side
    21,976.31x = 1,227,098,710.63
  5. Step 5: Solve for x
    x = 1,227,098,710.63/21,976.31
  6. Step 6: Final answer
    x = 55,837.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.