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Finding the Third Proportional to 21,822.75 and 33,139.13

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Solution

The third proportional to 21,822.75 and 33,139.13 is: 50,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.75 : 33,139.13 = 33,139.13 : x
  2. Step 2: Convert to fraction form
    21,822.75/33,139.13 = 33,139.13/x
  3. Step 3: Cross multiply
    21,822.75x = 33,139.13 × 33,139.13
  4. Step 4: Simplify right side
    21,822.75x = 1,098,201,605.77
  5. Step 5: Solve for x
    x = 1,098,201,605.77/21,822.75
  6. Step 6: Final answer
    x = 50,323.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.