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Finding the Third Proportional to 45,385.50 and 69,992.25

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Solution

The third proportional to 45,385.50 and 69,992.25 is: 107,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,385.50 : 69,992.25 = 69,992.25 : x
  2. Step 2: Convert to fraction form
    45,385.50/69,992.25 = 69,992.25/x
  3. Step 3: Cross multiply
    45,385.50x = 69,992.25 × 69,992.25
  4. Step 4: Simplify right side
    45,385.50x = 4,898,915,060.06
  5. Step 5: Solve for x
    x = 4,898,915,060.06/45,385.50
  6. Step 6: Final answer
    x = 107,940.09

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