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Finding the Third Proportional to 46,752.75 and 65,761.13

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Solution

The third proportional to 46,752.75 and 65,761.13 is: 92,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752.75 : 65,761.13 = 65,761.13 : x
  2. Step 2: Convert to fraction form
    46,752.75/65,761.13 = 65,761.13/x
  3. Step 3: Cross multiply
    46,752.75x = 65,761.13 × 65,761.13
  4. Step 4: Simplify right side
    46,752.75x = 4,324,525,561.27
  5. Step 5: Solve for x
    x = 4,324,525,561.27/46,752.75
  6. Step 6: Final answer
    x = 92,497.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.