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Finding the Third Proportional to 49,738.50 and 70,311.25

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Solution

The third proportional to 49,738.50 and 70,311.25 is: 99,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,738.50 : 70,311.25 = 70,311.25 : x
  2. Step 2: Convert to fraction form
    49,738.50/70,311.25 = 70,311.25/x
  3. Step 3: Cross multiply
    49,738.50x = 70,311.25 × 70,311.25
  4. Step 4: Simplify right side
    49,738.50x = 4,943,671,876.56
  5. Step 5: Solve for x
    x = 4,943,671,876.56/49,738.50
  6. Step 6: Final answer
    x = 99,393.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.