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Finding the Third Proportional to 40,426 and 82,852

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Solution

The third proportional to 40,426 and 82,852 is: 169,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,426 : 82,852 = 82,852 : x
  2. Step 2: Convert to fraction form
    40,426/82,852 = 82,852/x
  3. Step 3: Cross multiply
    40,426x = 82,852 × 82,852
  4. Step 4: Simplify right side
    40,426x = 6,864,453,904
  5. Step 5: Solve for x
    x = 6,864,453,904/40,426
  6. Step 6: Final answer
    x = 169,802.95

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Why These Related Problems?

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