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Finding the Third Proportional to 47,964 and 73,404

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Solution

The third proportional to 47,964 and 73,404 is: 112,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,964 : 73,404 = 73,404 : x
  2. Step 2: Convert to fraction form
    47,964/73,404 = 73,404/x
  3. Step 3: Cross multiply
    47,964x = 73,404 × 73,404
  4. Step 4: Simplify right side
    47,964x = 5,388,147,216
  5. Step 5: Solve for x
    x = 5,388,147,216/47,964
  6. Step 6: Final answer
    x = 112,337.32

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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.