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Finding the Third Proportional to 39,448.25 and 81,807.75

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Solution

The third proportional to 39,448.25 and 81,807.75 is: 169,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,448.25 : 81,807.75 = 81,807.75 : x
  2. Step 2: Convert to fraction form
    39,448.25/81,807.75 = 81,807.75/x
  3. Step 3: Cross multiply
    39,448.25x = 81,807.75 × 81,807.75
  4. Step 4: Simplify right side
    39,448.25x = 6,692,507,960.06
  5. Step 5: Solve for x
    x = 6,692,507,960.06/39,448.25
  6. Step 6: Final answer
    x = 169,652.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.