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Finding the Third Proportional to 26,165 and 40,301

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Solution

The third proportional to 26,165 and 40,301 is: 62,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165 : 40,301 = 40,301 : x
  2. Step 2: Convert to fraction form
    26,165/40,301 = 40,301/x
  3. Step 3: Cross multiply
    26,165x = 40,301 × 40,301
  4. Step 4: Simplify right side
    26,165x = 1,624,170,601
  5. Step 5: Solve for x
    x = 1,624,170,601/26,165
  6. Step 6: Final answer
    x = 62,074.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.