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Finding the Third Proportional to 26,594 and 35,457

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Solution

The third proportional to 26,594 and 35,457 is: 47,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594 : 35,457 = 35,457 : x
  2. Step 2: Convert to fraction form
    26,594/35,457 = 35,457/x
  3. Step 3: Cross multiply
    26,594x = 35,457 × 35,457
  4. Step 4: Simplify right side
    26,594x = 1,257,198,849
  5. Step 5: Solve for x
    x = 1,257,198,849/26,594
  6. Step 6: Final answer
    x = 47,273.78

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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.