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Finding the Third Proportional to 31,072.50 and 48,456

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Solution

The third proportional to 31,072.50 and 48,456 is: 75,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072.50 : 48,456 = 48,456 : x
  2. Step 2: Convert to fraction form
    31,072.50/48,456 = 48,456/x
  3. Step 3: Cross multiply
    31,072.50x = 48,456 × 48,456
  4. Step 4: Simplify right side
    31,072.50x = 2,347,983,936
  5. Step 5: Solve for x
    x = 2,347,983,936/31,072.50
  6. Step 6: Final answer
    x = 75,564.69

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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.