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Finding the Third Proportional to 32,031.75 and 50,103.75

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Solution

The third proportional to 32,031.75 and 50,103.75 is: 78,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.75 : 50,103.75 = 50,103.75 : x
  2. Step 2: Convert to fraction form
    32,031.75/50,103.75 = 50,103.75/x
  3. Step 3: Cross multiply
    32,031.75x = 50,103.75 × 50,103.75
  4. Step 4: Simplify right side
    32,031.75x = 2,510,385,764.06
  5. Step 5: Solve for x
    x = 2,510,385,764.06/32,031.75
  6. Step 6: Final answer
    x = 78,371.80

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