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Finding the Third Proportional to 22,640.25 and 33,266.63

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Solution

The third proportional to 22,640.25 and 33,266.63 is: 48,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.25 : 33,266.63 = 33,266.63 : x
  2. Step 2: Convert to fraction form
    22,640.25/33,266.63 = 33,266.63/x
  3. Step 3: Cross multiply
    22,640.25x = 33,266.63 × 33,266.63
  4. Step 4: Simplify right side
    22,640.25x = 1,106,668,338.89
  5. Step 5: Solve for x
    x = 1,106,668,338.89/22,640.25
  6. Step 6: Final answer
    x = 48,880.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.