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Finding the Third Proportional to 44,623.50 and 69,096

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Solution

The third proportional to 44,623.50 and 69,096 is: 106,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,623.50 : 69,096 = 69,096 : x
  2. Step 2: Convert to fraction form
    44,623.50/69,096 = 69,096/x
  3. Step 3: Cross multiply
    44,623.50x = 69,096 × 69,096
  4. Step 4: Simplify right side
    44,623.50x = 4,774,257,216
  5. Step 5: Solve for x
    x = 4,774,257,216/44,623.50
  6. Step 6: Final answer
    x = 106,989.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.