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Finding the Third Proportional to 44,992 and 69,846

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Solution

The third proportional to 44,992 and 69,846 is: 108,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,992 : 69,846 = 69,846 : x
  2. Step 2: Convert to fraction form
    44,992/69,846 = 69,846/x
  3. Step 3: Cross multiply
    44,992x = 69,846 × 69,846
  4. Step 4: Simplify right side
    44,992x = 4,878,463,716
  5. Step 5: Solve for x
    x = 4,878,463,716/44,992
  6. Step 6: Final answer
    x = 108,429.58

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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.