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Finding the Third Proportional to 45,771.62 and 69,976.52

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Solution

The third proportional to 45,771.62 and 69,976.52 is: 106,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,771.62 : 69,976.52 = 69,976.52 : x
  2. Step 2: Convert to fraction form
    45,771.62/69,976.52 = 69,976.52/x
  3. Step 3: Cross multiply
    45,771.62x = 69,976.52 × 69,976.52
  4. Step 4: Simplify right side
    45,771.62x = 4,896,714,037.41
  5. Step 5: Solve for x
    x = 4,896,714,037.41/45,771.62
  6. Step 6: Final answer
    x = 106,981.43

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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.