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Finding the Third Proportional to 26,295 and 53,817

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Solution

The third proportional to 26,295 and 53,817 is: 110,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295 : 53,817 = 53,817 : x
  2. Step 2: Convert to fraction form
    26,295/53,817 = 53,817/x
  3. Step 3: Cross multiply
    26,295x = 53,817 × 53,817
  4. Step 4: Simplify right side
    26,295x = 2,896,269,489
  5. Step 5: Solve for x
    x = 2,896,269,489/26,295
  6. Step 6: Final answer
    x = 110,145.26

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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.