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Finding the Third Proportional to 23,370.45 and 49,544.79

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Solution

The third proportional to 23,370.45 and 49,544.79 is: 105,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,370.45 : 49,544.79 = 49,544.79 : x
  2. Step 2: Convert to fraction form
    23,370.45/49,544.79 = 49,544.79/x
  3. Step 3: Cross multiply
    23,370.45x = 49,544.79 × 49,544.79
  4. Step 4: Simplify right side
    23,370.45x = 2,454,686,123.25
  5. Step 5: Solve for x
    x = 2,454,686,123.25/23,370.45
  6. Step 6: Final answer
    x = 105,033.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.