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Finding the Third Proportional to 31,496.25 and 48,773.25

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Solution

The third proportional to 31,496.25 and 48,773.25 is: 75,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.25 : 48,773.25 = 48,773.25 : x
  2. Step 2: Convert to fraction form
    31,496.25/48,773.25 = 48,773.25/x
  3. Step 3: Cross multiply
    31,496.25x = 48,773.25 × 48,773.25
  4. Step 4: Simplify right side
    31,496.25x = 2,378,829,915.56
  5. Step 5: Solve for x
    x = 2,378,829,915.56/31,496.25
  6. Step 6: Final answer
    x = 75,527.40

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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.