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Finding the Third Proportional to 43,745.06 and 65,601.84

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Solution

The third proportional to 43,745.06 and 65,601.84 is: 98,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,745.06 : 65,601.84 = 65,601.84 : x
  2. Step 2: Convert to fraction form
    43,745.06/65,601.84 = 65,601.84/x
  3. Step 3: Cross multiply
    43,745.06x = 65,601.84 × 65,601.84
  4. Step 4: Simplify right side
    43,745.06x = 4,303,601,903.40
  5. Step 5: Solve for x
    x = 4,303,601,903.40/43,745.06
  6. Step 6: Final answer
    x = 98,379.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.