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Finding the Third Proportional to 31,520.25 and 48,807

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Solution

The third proportional to 31,520.25 and 48,807 is: 75,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520.25 : 48,807 = 48,807 : x
  2. Step 2: Convert to fraction form
    31,520.25/48,807 = 48,807/x
  3. Step 3: Cross multiply
    31,520.25x = 48,807 × 48,807
  4. Step 4: Simplify right side
    31,520.25x = 2,382,123,249
  5. Step 5: Solve for x
    x = 2,382,123,249/31,520.25
  6. Step 6: Final answer
    x = 75,574.38

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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.