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Finding the Third Proportional to 45,616.50 and 69,977.25

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Solution

The third proportional to 45,616.50 and 69,977.25 is: 107,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,616.50 : 69,977.25 = 69,977.25 : x
  2. Step 2: Convert to fraction form
    45,616.50/69,977.25 = 69,977.25/x
  3. Step 3: Cross multiply
    45,616.50x = 69,977.25 × 69,977.25
  4. Step 4: Simplify right side
    45,616.50x = 4,896,815,517.56
  5. Step 5: Solve for x
    x = 4,896,815,517.56/45,616.50
  6. Step 6: Final answer
    x = 107,347.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.