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Finding the Third Proportional to 31,790.50 and 50,328

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Solution

The third proportional to 31,790.50 and 50,328 is: 79,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.50 : 50,328 = 50,328 : x
  2. Step 2: Convert to fraction form
    31,790.50/50,328 = 50,328/x
  3. Step 3: Cross multiply
    31,790.50x = 50,328 × 50,328
  4. Step 4: Simplify right side
    31,790.50x = 2,532,907,584
  5. Step 5: Solve for x
    x = 2,532,907,584/31,790.50
  6. Step 6: Final answer
    x = 79,674.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.