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Finding the Third Proportional to 40,464.31 and 82,534.94

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Solution

The third proportional to 40,464.31 and 82,534.94 is: 168,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464.31 : 82,534.94 = 82,534.94 : x
  2. Step 2: Convert to fraction form
    40,464.31/82,534.94 = 82,534.94/x
  3. Step 3: Cross multiply
    40,464.31x = 82,534.94 × 82,534.94
  4. Step 4: Simplify right side
    40,464.31x = 6,812,015,908.13
  5. Step 5: Solve for x
    x = 6,812,015,908.13/40,464.31
  6. Step 6: Final answer
    x = 168,346.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.