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Finding the Third Proportional to 26,305 and 35,622

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Solution

The third proportional to 26,305 and 35,622 is: 48,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,305 : 35,622 = 35,622 : x
  2. Step 2: Convert to fraction form
    26,305/35,622 = 35,622/x
  3. Step 3: Cross multiply
    26,305x = 35,622 × 35,622
  4. Step 4: Simplify right side
    26,305x = 1,268,926,884
  5. Step 5: Solve for x
    x = 1,268,926,884/26,305
  6. Step 6: Final answer
    x = 48,239.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.