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Finding the Third Proportional to 31,383 and 49,999.50

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Solution

The third proportional to 31,383 and 49,999.50 is: 79,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383 : 49,999.50 = 49,999.50 : x
  2. Step 2: Convert to fraction form
    31,383/49,999.50 = 49,999.50/x
  3. Step 3: Cross multiply
    31,383x = 49,999.50 × 49,999.50
  4. Step 4: Simplify right side
    31,383x = 2,499,950,000.25
  5. Step 5: Solve for x
    x = 2,499,950,000.25/31,383
  6. Step 6: Final answer
    x = 79,659.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.