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Finding the Third Proportional to 36,952 and 65,696

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Solution

The third proportional to 36,952 and 65,696 is: 116,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 65,696 = 65,696 : x
  2. Step 2: Convert to fraction form
    36,952/65,696 = 65,696/x
  3. Step 3: Cross multiply
    36,952x = 65,696 × 65,696
  4. Step 4: Simplify right side
    36,952x = 4,315,964,416
  5. Step 5: Solve for x
    x = 4,315,964,416/36,952
  6. Step 6: Final answer
    x = 116,799.21

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.