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Finding the Third Proportional to 31,629 and 44,500.50

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Solution

The third proportional to 31,629 and 44,500.50 is: 62,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,629 : 44,500.50 = 44,500.50 : x
  2. Step 2: Convert to fraction form
    31,629/44,500.50 = 44,500.50/x
  3. Step 3: Cross multiply
    31,629x = 44,500.50 × 44,500.50
  4. Step 4: Simplify right side
    31,629x = 1,980,294,500.25
  5. Step 5: Solve for x
    x = 1,980,294,500.25/31,629
  6. Step 6: Final answer
    x = 62,610.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.