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Finding the Third Proportional to 40,358.25 and 82,359

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Solution

The third proportional to 40,358.25 and 82,359 is: 168,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,358.25 : 82,359 = 82,359 : x
  2. Step 2: Convert to fraction form
    40,358.25/82,359 = 82,359/x
  3. Step 3: Cross multiply
    40,358.25x = 82,359 × 82,359
  4. Step 4: Simplify right side
    40,358.25x = 6,783,004,881
  5. Step 5: Solve for x
    x = 6,783,004,881/40,358.25
  6. Step 6: Final answer
    x = 168,069.85

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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.