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Finding the Third Proportional to 17,344 and 36,752

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Solution

The third proportional to 17,344 and 36,752 is: 77,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344 : 36,752 = 36,752 : x
  2. Step 2: Convert to fraction form
    17,344/36,752 = 36,752/x
  3. Step 3: Cross multiply
    17,344x = 36,752 × 36,752
  4. Step 4: Simplify right side
    17,344x = 1,350,709,504
  5. Step 5: Solve for x
    x = 1,350,709,504/17,344
  6. Step 6: Final answer
    x = 77,877.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.