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Finding the Third Proportional to 46,009.75 and 65,245.75

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Solution

The third proportional to 46,009.75 and 65,245.75 is: 92,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009.75 : 65,245.75 = 65,245.75 : x
  2. Step 2: Convert to fraction form
    46,009.75/65,245.75 = 65,245.75/x
  3. Step 3: Cross multiply
    46,009.75x = 65,245.75 × 65,245.75
  4. Step 4: Simplify right side
    46,009.75x = 4,257,007,893.06
  5. Step 5: Solve for x
    x = 4,257,007,893.06/46,009.75
  6. Step 6: Final answer
    x = 92,524.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.