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Finding the Third Proportional to 43,800.75 and 71,715.38

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Solution

The third proportional to 43,800.75 and 71,715.38 is: 117,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,800.75 : 71,715.38 = 71,715.38 : x
  2. Step 2: Convert to fraction form
    43,800.75/71,715.38 = 71,715.38/x
  3. Step 3: Cross multiply
    43,800.75x = 71,715.38 × 71,715.38
  4. Step 4: Simplify right side
    43,800.75x = 5,143,095,011.39
  5. Step 5: Solve for x
    x = 5,143,095,011.39/43,800.75
  6. Step 6: Final answer
    x = 117,420.25

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.