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Finding the Third Proportional to 39,976.88 and 86,356.13

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Solution

The third proportional to 39,976.88 and 86,356.13 is: 186,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976.88 : 86,356.13 = 86,356.13 : x
  2. Step 2: Convert to fraction form
    39,976.88/86,356.13 = 86,356.13/x
  3. Step 3: Cross multiply
    39,976.88x = 86,356.13 × 86,356.13
  4. Step 4: Simplify right side
    39,976.88x = 7,457,380,325.02
  5. Step 5: Solve for x
    x = 7,457,380,325.02/39,976.88
  6. Step 6: Final answer
    x = 186,542.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.