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Finding the Third Proportional to 31,225.50 and 50,388.75

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Solution

The third proportional to 31,225.50 and 50,388.75 is: 81,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.50 : 50,388.75 = 50,388.75 : x
  2. Step 2: Convert to fraction form
    31,225.50/50,388.75 = 50,388.75/x
  3. Step 3: Cross multiply
    31,225.50x = 50,388.75 × 50,388.75
  4. Step 4: Simplify right side
    31,225.50x = 2,539,026,126.56
  5. Step 5: Solve for x
    x = 2,539,026,126.56/31,225.50
  6. Step 6: Final answer
    x = 81,312.59

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.