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Finding the Third Proportional to 30,751.13 and 50,214.15

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Solution

The third proportional to 30,751.13 and 50,214.15 is: 81,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.13 : 50,214.15 = 50,214.15 : x
  2. Step 2: Convert to fraction form
    30,751.13/50,214.15 = 50,214.15/x
  3. Step 3: Cross multiply
    30,751.13x = 50,214.15 × 50,214.15
  4. Step 4: Simplify right side
    30,751.13x = 2,521,460,507.15
  5. Step 5: Solve for x
    x = 2,521,460,507.15/30,751.13
  6. Step 6: Final answer
    x = 81,995.71

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.