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Finding the Third Proportional to 40,427 and 82,798

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Solution

The third proportional to 40,427 and 82,798 is: 169,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,427 : 82,798 = 82,798 : x
  2. Step 2: Convert to fraction form
    40,427/82,798 = 82,798/x
  3. Step 3: Cross multiply
    40,427x = 82,798 × 82,798
  4. Step 4: Simplify right side
    40,427x = 6,855,508,804
  5. Step 5: Solve for x
    x = 6,855,508,804/40,427
  6. Step 6: Final answer
    x = 169,577.48

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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.