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Finding the Third Proportional to 26,796 and 40,818

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Solution

The third proportional to 26,796 and 40,818 is: 62,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,796 : 40,818 = 40,818 : x
  2. Step 2: Convert to fraction form
    26,796/40,818 = 40,818/x
  3. Step 3: Cross multiply
    26,796x = 40,818 × 40,818
  4. Step 4: Simplify right side
    26,796x = 1,666,109,124
  5. Step 5: Solve for x
    x = 1,666,109,124/26,796
  6. Step 6: Final answer
    x = 62,177.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.