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Finding the Third Proportional to 31,329.75 and 48,489.75

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Solution

The third proportional to 31,329.75 and 48,489.75 is: 75,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.75 : 48,489.75 = 48,489.75 : x
  2. Step 2: Convert to fraction form
    31,329.75/48,489.75 = 48,489.75/x
  3. Step 3: Cross multiply
    31,329.75x = 48,489.75 × 48,489.75
  4. Step 4: Simplify right side
    31,329.75x = 2,351,255,855.06
  5. Step 5: Solve for x
    x = 2,351,255,855.06/31,329.75
  6. Step 6: Final answer
    x = 75,048.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.