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Finding the Third Proportional to 31,768.50 and 50,254.50

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Solution

The third proportional to 31,768.50 and 50,254.50 is: 79,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.50 : 50,254.50 = 50,254.50 : x
  2. Step 2: Convert to fraction form
    31,768.50/50,254.50 = 50,254.50/x
  3. Step 3: Cross multiply
    31,768.50x = 50,254.50 × 50,254.50
  4. Step 4: Simplify right side
    31,768.50x = 2,525,514,770.25
  5. Step 5: Solve for x
    x = 2,525,514,770.25/31,768.50
  6. Step 6: Final answer
    x = 79,497.45

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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.