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Finding the Third Proportional to 44,869.57 and 69,467.84

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Solution

The third proportional to 44,869.57 and 69,467.84 is: 107,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,869.57 : 69,467.84 = 69,467.84 : x
  2. Step 2: Convert to fraction form
    44,869.57/69,467.84 = 69,467.84/x
  3. Step 3: Cross multiply
    44,869.57x = 69,467.84 × 69,467.84
  4. Step 4: Simplify right side
    44,869.57x = 4,825,780,229.84
  5. Step 5: Solve for x
    x = 4,825,780,229.84/44,869.57
  6. Step 6: Final answer
    x = 107,551.29

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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.