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Finding the Third Proportional to 46,716.75 and 65,508.75

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Solution

The third proportional to 46,716.75 and 65,508.75 is: 91,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,716.75 : 65,508.75 = 65,508.75 : x
  2. Step 2: Convert to fraction form
    46,716.75/65,508.75 = 65,508.75/x
  3. Step 3: Cross multiply
    46,716.75x = 65,508.75 × 65,508.75
  4. Step 4: Simplify right side
    46,716.75x = 4,291,396,326.56
  5. Step 5: Solve for x
    x = 4,291,396,326.56/46,716.75
  6. Step 6: Final answer
    x = 91,859.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.