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Finding the Third Proportional to 26,462 and 35,924

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Solution

The third proportional to 26,462 and 35,924 is: 48,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,462 : 35,924 = 35,924 : x
  2. Step 2: Convert to fraction form
    26,462/35,924 = 35,924/x
  3. Step 3: Cross multiply
    26,462x = 35,924 × 35,924
  4. Step 4: Simplify right side
    26,462x = 1,290,533,776
  5. Step 5: Solve for x
    x = 1,290,533,776/26,462
  6. Step 6: Final answer
    x = 48,769.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.