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Finding the Third Proportional to 17,435 and 37,822

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Solution

The third proportional to 17,435 and 37,822 is: 82,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435 : 37,822 = 37,822 : x
  2. Step 2: Convert to fraction form
    17,435/37,822 = 37,822/x
  3. Step 3: Cross multiply
    17,435x = 37,822 × 37,822
  4. Step 4: Simplify right side
    17,435x = 1,430,503,684
  5. Step 5: Solve for x
    x = 1,430,503,684/17,435
  6. Step 6: Final answer
    x = 82,047.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.