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Finding the Third Proportional to 43,699.50 and 69,966

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Solution

The third proportional to 43,699.50 and 69,966 is: 112,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,699.50 : 69,966 = 69,966 : x
  2. Step 2: Convert to fraction form
    43,699.50/69,966 = 69,966/x
  3. Step 3: Cross multiply
    43,699.50x = 69,966 × 69,966
  4. Step 4: Simplify right side
    43,699.50x = 4,895,241,156
  5. Step 5: Solve for x
    x = 4,895,241,156/43,699.50
  6. Step 6: Final answer
    x = 112,020.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.