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Finding the Third Proportional to 17,314 and 36,931

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Solution

The third proportional to 17,314 and 36,931 is: 78,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314 : 36,931 = 36,931 : x
  2. Step 2: Convert to fraction form
    17,314/36,931 = 36,931/x
  3. Step 3: Cross multiply
    17,314x = 36,931 × 36,931
  4. Step 4: Simplify right side
    17,314x = 1,363,898,761
  5. Step 5: Solve for x
    x = 1,363,898,761/17,314
  6. Step 6: Final answer
    x = 78,774.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.