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Finding the Third Proportional to 22,298.41 and 33,274.55

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Solution

The third proportional to 22,298.41 and 33,274.55 is: 49,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.41 : 33,274.55 = 33,274.55 : x
  2. Step 2: Convert to fraction form
    22,298.41/33,274.55 = 33,274.55/x
  3. Step 3: Cross multiply
    22,298.41x = 33,274.55 × 33,274.55
  4. Step 4: Simplify right side
    22,298.41x = 1,107,195,469.74
  5. Step 5: Solve for x
    x = 1,107,195,469.74/22,298.41
  6. Step 6: Final answer
    x = 49,653.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.