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Finding the Third Proportional to 31,501 and 50,755.50

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Solution

The third proportional to 31,501 and 50,755.50 is: 81,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501 : 50,755.50 = 50,755.50 : x
  2. Step 2: Convert to fraction form
    31,501/50,755.50 = 50,755.50/x
  3. Step 3: Cross multiply
    31,501x = 50,755.50 × 50,755.50
  4. Step 4: Simplify right side
    31,501x = 2,576,120,780.25
  5. Step 5: Solve for x
    x = 2,576,120,780.25/31,501
  6. Step 6: Final answer
    x = 81,779.02

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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.