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Finding the Third Proportional to 31,707 and 44,329.50

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Solution

The third proportional to 31,707 and 44,329.50 is: 61,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707 : 44,329.50 = 44,329.50 : x
  2. Step 2: Convert to fraction form
    31,707/44,329.50 = 44,329.50/x
  3. Step 3: Cross multiply
    31,707x = 44,329.50 × 44,329.50
  4. Step 4: Simplify right side
    31,707x = 1,965,104,570.25
  5. Step 5: Solve for x
    x = 1,965,104,570.25/31,707
  6. Step 6: Final answer
    x = 61,976.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.