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Finding the Third Proportional to 26,458 and 35,272

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Solution

The third proportional to 26,458 and 35,272 is: 47,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,458 : 35,272 = 35,272 : x
  2. Step 2: Convert to fraction form
    26,458/35,272 = 35,272/x
  3. Step 3: Cross multiply
    26,458x = 35,272 × 35,272
  4. Step 4: Simplify right side
    26,458x = 1,244,113,984
  5. Step 5: Solve for x
    x = 1,244,113,984/26,458
  6. Step 6: Final answer
    x = 47,022.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.