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Finding the Third Proportional to 47,395.50 and 73,944

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Solution

The third proportional to 47,395.50 and 73,944 is: 115,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,395.50 : 73,944 = 73,944 : x
  2. Step 2: Convert to fraction form
    47,395.50/73,944 = 73,944/x
  3. Step 3: Cross multiply
    47,395.50x = 73,944 × 73,944
  4. Step 4: Simplify right side
    47,395.50x = 5,467,715,136
  5. Step 5: Solve for x
    x = 5,467,715,136/47,395.50
  6. Step 6: Final answer
    x = 115,363.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.