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Finding the Third Proportional to 30,682.13 and 46,914.19

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Solution

The third proportional to 30,682.13 and 46,914.19 is: 71,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.13 : 46,914.19 = 46,914.19 : x
  2. Step 2: Convert to fraction form
    30,682.13/46,914.19 = 46,914.19/x
  3. Step 3: Cross multiply
    30,682.13x = 46,914.19 × 46,914.19
  4. Step 4: Simplify right side
    30,682.13x = 2,200,940,988.79
  5. Step 5: Solve for x
    x = 2,200,940,988.79/30,682.13
  6. Step 6: Final answer
    x = 71,733.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.