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Finding the Third Proportional to 31,267.50 and 48,503.25

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Solution

The third proportional to 31,267.50 and 48,503.25 is: 75,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.50 : 48,503.25 = 48,503.25 : x
  2. Step 2: Convert to fraction form
    31,267.50/48,503.25 = 48,503.25/x
  3. Step 3: Cross multiply
    31,267.50x = 48,503.25 × 48,503.25
  4. Step 4: Simplify right side
    31,267.50x = 2,352,565,260.56
  5. Step 5: Solve for x
    x = 2,352,565,260.56/31,267.50
  6. Step 6: Final answer
    x = 75,239.95

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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.