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Finding the Third Proportional to 17,034 and 37,347

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Solution

The third proportional to 17,034 and 37,347 is: 81,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,034 : 37,347 = 37,347 : x
  2. Step 2: Convert to fraction form
    17,034/37,347 = 37,347/x
  3. Step 3: Cross multiply
    17,034x = 37,347 × 37,347
  4. Step 4: Simplify right side
    17,034x = 1,394,798,409
  5. Step 5: Solve for x
    x = 1,394,798,409/17,034
  6. Step 6: Final answer
    x = 81,883.20

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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.