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Finding the Third Proportional to 27,765 and 44,158

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Solution

The third proportional to 27,765 and 44,158 is: 70,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765 : 44,158 = 44,158 : x
  2. Step 2: Convert to fraction form
    27,765/44,158 = 44,158/x
  3. Step 3: Cross multiply
    27,765x = 44,158 × 44,158
  4. Step 4: Simplify right side
    27,765x = 1,949,928,964
  5. Step 5: Solve for x
    x = 1,949,928,964/27,765
  6. Step 6: Final answer
    x = 70,229.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.