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Finding the Third Proportional to 40,502.75 and 87,214.25

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Solution

The third proportional to 40,502.75 and 87,214.25 is: 187,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,502.75 : 87,214.25 = 87,214.25 : x
  2. Step 2: Convert to fraction form
    40,502.75/87,214.25 = 87,214.25/x
  3. Step 3: Cross multiply
    40,502.75x = 87,214.25 × 87,214.25
  4. Step 4: Simplify right side
    40,502.75x = 7,606,325,403.06
  5. Step 5: Solve for x
    x = 7,606,325,403.06/40,502.75
  6. Step 6: Final answer
    x = 187,797.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.