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Finding the Third Proportional to 40,682.04 and 83,346.05

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Solution

The third proportional to 40,682.04 and 83,346.05 is: 170,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682.04 : 83,346.05 = 83,346.05 : x
  2. Step 2: Convert to fraction form
    40,682.04/83,346.05 = 83,346.05/x
  3. Step 3: Cross multiply
    40,682.04x = 83,346.05 × 83,346.05
  4. Step 4: Simplify right side
    40,682.04x = 6,946,563,529.69
  5. Step 5: Solve for x
    x = 6,946,563,529.69/40,682.04
  6. Step 6: Final answer
    x = 170,752.59

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.