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Finding the Third Proportional to 44,648 and 69,071

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Solution

The third proportional to 44,648 and 69,071 is: 106,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,648 : 69,071 = 69,071 : x
  2. Step 2: Convert to fraction form
    44,648/69,071 = 69,071/x
  3. Step 3: Cross multiply
    44,648x = 69,071 × 69,071
  4. Step 4: Simplify right side
    44,648x = 4,770,803,041
  5. Step 5: Solve for x
    x = 4,770,803,041/44,648
  6. Step 6: Final answer
    x = 106,853.68

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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.