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Finding the Third Proportional to 17,060 and 37,438

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Solution

The third proportional to 17,060 and 37,438 is: 82,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,060 : 37,438 = 37,438 : x
  2. Step 2: Convert to fraction form
    17,060/37,438 = 37,438/x
  3. Step 3: Cross multiply
    17,060x = 37,438 × 37,438
  4. Step 4: Simplify right side
    17,060x = 1,401,603,844
  5. Step 5: Solve for x
    x = 1,401,603,844/17,060
  6. Step 6: Final answer
    x = 82,157.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.