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Finding the Third Proportional to 44,872.50 and 69,678

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Solution

The third proportional to 44,872.50 and 69,678 is: 108,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,872.50 : 69,678 = 69,678 : x
  2. Step 2: Convert to fraction form
    44,872.50/69,678 = 69,678/x
  3. Step 3: Cross multiply
    44,872.50x = 69,678 × 69,678
  4. Step 4: Simplify right side
    44,872.50x = 4,855,023,684
  5. Step 5: Solve for x
    x = 4,855,023,684/44,872.50
  6. Step 6: Final answer
    x = 108,195.97

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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.