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Finding the Third Proportional to 47,311 and 70,973

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Solution

The third proportional to 47,311 and 70,973 is: 106,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311 : 70,973 = 70,973 : x
  2. Step 2: Convert to fraction form
    47,311/70,973 = 70,973/x
  3. Step 3: Cross multiply
    47,311x = 70,973 × 70,973
  4. Step 4: Simplify right side
    47,311x = 5,037,166,729
  5. Step 5: Solve for x
    x = 5,037,166,729/47,311
  6. Step 6: Final answer
    x = 106,469.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.