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Finding the Third Proportional to 17,153 and 37,213

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Solution

The third proportional to 17,153 and 37,213 is: 80,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153 : 37,213 = 37,213 : x
  2. Step 2: Convert to fraction form
    17,153/37,213 = 37,213/x
  3. Step 3: Cross multiply
    17,153x = 37,213 × 37,213
  4. Step 4: Simplify right side
    17,153x = 1,384,807,369
  5. Step 5: Solve for x
    x = 1,384,807,369/17,153
  6. Step 6: Final answer
    x = 80,732.66

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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.