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Finding the Third Proportional to 26,457 and 35,271

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Solution

The third proportional to 26,457 and 35,271 is: 47,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,457 : 35,271 = 35,271 : x
  2. Step 2: Convert to fraction form
    26,457/35,271 = 35,271/x
  3. Step 3: Cross multiply
    26,457x = 35,271 × 35,271
  4. Step 4: Simplify right side
    26,457x = 1,244,043,441
  5. Step 5: Solve for x
    x = 1,244,043,441/26,457
  6. Step 6: Final answer
    x = 47,021.33

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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.