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Finding the Third Proportional to 49,993.13 and 70,321.50

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Solution

The third proportional to 49,993.13 and 70,321.50 is: 98,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,993.13 : 70,321.50 = 70,321.50 : x
  2. Step 2: Convert to fraction form
    49,993.13/70,321.50 = 70,321.50/x
  3. Step 3: Cross multiply
    49,993.13x = 70,321.50 × 70,321.50
  4. Step 4: Simplify right side
    49,993.13x = 4,945,113,362.25
  5. Step 5: Solve for x
    x = 4,945,113,362.25/49,993.13
  6. Step 6: Final answer
    x = 98,915.87

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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.