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Finding the Third Proportional to 26,815 and 40,798

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Solution

The third proportional to 26,815 and 40,798 is: 62,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,815 : 40,798 = 40,798 : x
  2. Step 2: Convert to fraction form
    26,815/40,798 = 40,798/x
  3. Step 3: Cross multiply
    26,815x = 40,798 × 40,798
  4. Step 4: Simplify right side
    26,815x = 1,664,476,804
  5. Step 5: Solve for x
    x = 1,664,476,804/26,815
  6. Step 6: Final answer
    x = 62,072.60

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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.