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Finding the Third Proportional to 22,943.25 and 33,584.63

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Solution

The third proportional to 22,943.25 and 33,584.63 is: 49,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.25 : 33,584.63 = 33,584.63 : x
  2. Step 2: Convert to fraction form
    22,943.25/33,584.63 = 33,584.63/x
  3. Step 3: Cross multiply
    22,943.25x = 33,584.63 × 33,584.63
  4. Step 4: Simplify right side
    22,943.25x = 1,127,927,036.39
  5. Step 5: Solve for x
    x = 1,127,927,036.39/22,943.25
  6. Step 6: Final answer
    x = 49,161.61

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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.