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Finding the Third Proportional to 49,944.50 and 70,256

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Solution

The third proportional to 49,944.50 and 70,256 is: 98,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,944.50 : 70,256 = 70,256 : x
  2. Step 2: Convert to fraction form
    49,944.50/70,256 = 70,256/x
  3. Step 3: Cross multiply
    49,944.50x = 70,256 × 70,256
  4. Step 4: Simplify right side
    49,944.50x = 4,935,905,536
  5. Step 5: Solve for x
    x = 4,935,905,536/49,944.50
  6. Step 6: Final answer
    x = 98,827.81

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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.