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Finding the Third Proportional to 22,274.25 and 34,601.63

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Solution

The third proportional to 22,274.25 and 34,601.63 is: 53,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.25 : 34,601.63 = 34,601.63 : x
  2. Step 2: Convert to fraction form
    22,274.25/34,601.63 = 34,601.63/x
  3. Step 3: Cross multiply
    22,274.25x = 34,601.63 × 34,601.63
  4. Step 4: Simplify right side
    22,274.25x = 1,197,272,452.64
  5. Step 5: Solve for x
    x = 1,197,272,452.64/22,274.25
  6. Step 6: Final answer
    x = 53,751.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.