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Finding the Third Proportional to 21,511.13 and 33,229.69

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Solution

The third proportional to 21,511.13 and 33,229.69 is: 51,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.13 : 33,229.69 = 33,229.69 : x
  2. Step 2: Convert to fraction form
    21,511.13/33,229.69 = 33,229.69/x
  3. Step 3: Cross multiply
    21,511.13x = 33,229.69 × 33,229.69
  4. Step 4: Simplify right side
    21,511.13x = 1,104,212,131.35
  5. Step 5: Solve for x
    x = 1,104,212,131.35/21,511.13
  6. Step 6: Final answer
    x = 51,332.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.