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Finding the Third Proportional to 17,336 and 37,534

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Solution

The third proportional to 17,336 and 37,534 is: 81,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336 : 37,534 = 37,534 : x
  2. Step 2: Convert to fraction form
    17,336/37,534 = 37,534/x
  3. Step 3: Cross multiply
    17,336x = 37,534 × 37,534
  4. Step 4: Simplify right side
    17,336x = 1,408,801,156
  5. Step 5: Solve for x
    x = 1,408,801,156/17,336
  6. Step 6: Final answer
    x = 81,264.49

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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.