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Finding the Third Proportional to 47,012 and 67,964

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Solution

The third proportional to 47,012 and 67,964 is: 98,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,012 : 67,964 = 67,964 : x
  2. Step 2: Convert to fraction form
    47,012/67,964 = 67,964/x
  3. Step 3: Cross multiply
    47,012x = 67,964 × 67,964
  4. Step 4: Simplify right side
    47,012x = 4,619,105,296
  5. Step 5: Solve for x
    x = 4,619,105,296/47,012
  6. Step 6: Final answer
    x = 98,253.75

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.