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Finding the Third Proportional to 46,980 and 71,958.38

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Solution

The third proportional to 46,980 and 71,958.38 is: 110,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980 : 71,958.38 = 71,958.38 : x
  2. Step 2: Convert to fraction form
    46,980/71,958.38 = 71,958.38/x
  3. Step 3: Cross multiply
    46,980x = 71,958.38 × 71,958.38
  4. Step 4: Simplify right side
    46,980x = 5,178,007,732.64
  5. Step 5: Solve for x
    x = 5,178,007,732.64/46,980
  6. Step 6: Final answer
    x = 110,217.28

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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.