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Finding the Third Proportional to 17,126 and 36,440

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Solution

The third proportional to 17,126 and 36,440 is: 77,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,126 : 36,440 = 36,440 : x
  2. Step 2: Convert to fraction form
    17,126/36,440 = 36,440/x
  3. Step 3: Cross multiply
    17,126x = 36,440 × 36,440
  4. Step 4: Simplify right side
    17,126x = 1,327,873,600
  5. Step 5: Solve for x
    x = 1,327,873,600/17,126
  6. Step 6: Final answer
    x = 77,535.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.