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Finding the Third Proportional to 41,298.75 and 65,640.75

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Solution

The third proportional to 41,298.75 and 65,640.75 is: 104,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,298.75 : 65,640.75 = 65,640.75 : x
  2. Step 2: Convert to fraction form
    41,298.75/65,640.75 = 65,640.75/x
  3. Step 3: Cross multiply
    41,298.75x = 65,640.75 × 65,640.75
  4. Step 4: Simplify right side
    41,298.75x = 4,308,708,060.56
  5. Step 5: Solve for x
    x = 4,308,708,060.56/41,298.75
  6. Step 6: Final answer
    x = 104,330.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.