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Finding the Third Proportional to 44,786 and 69,051

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Solution

The third proportional to 44,786 and 69,051 is: 106,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,786 : 69,051 = 69,051 : x
  2. Step 2: Convert to fraction form
    44,786/69,051 = 69,051/x
  3. Step 3: Cross multiply
    44,786x = 69,051 × 69,051
  4. Step 4: Simplify right side
    44,786x = 4,768,040,601
  5. Step 5: Solve for x
    x = 4,768,040,601/44,786
  6. Step 6: Final answer
    x = 106,462.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.