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Finding the Third Proportional to 39,765.09 and 86,527.41

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Solution

The third proportional to 39,765.09 and 86,527.41 is: 188,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765.09 : 86,527.41 = 86,527.41 : x
  2. Step 2: Convert to fraction form
    39,765.09/86,527.41 = 86,527.41/x
  3. Step 3: Cross multiply
    39,765.09x = 86,527.41 × 86,527.41
  4. Step 4: Simplify right side
    39,765.09x = 7,486,992,032.35
  5. Step 5: Solve for x
    x = 7,486,992,032.35/39,765.09
  6. Step 6: Final answer
    x = 188,280.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.