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Finding the Third Proportional to 22,957.33 and 35,474.92

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Solution

The third proportional to 22,957.33 and 35,474.92 is: 54,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.33 : 35,474.92 = 35,474.92 : x
  2. Step 2: Convert to fraction form
    22,957.33/35,474.92 = 35,474.92/x
  3. Step 3: Cross multiply
    22,957.33x = 35,474.92 × 35,474.92
  4. Step 4: Simplify right side
    22,957.33x = 1,258,469,597.03
  5. Step 5: Solve for x
    x = 1,258,469,597.03/22,957.33
  6. Step 6: Final answer
    x = 54,817.77

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Why These Related Problems?

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