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Finding the Third Proportional to 36,960 and 65,712

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Solution

The third proportional to 36,960 and 65,712 is: 116,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 65,712 = 65,712 : x
  2. Step 2: Convert to fraction form
    36,960/65,712 = 65,712/x
  3. Step 3: Cross multiply
    36,960x = 65,712 × 65,712
  4. Step 4: Simplify right side
    36,960x = 4,318,066,944
  5. Step 5: Solve for x
    x = 4,318,066,944/36,960
  6. Step 6: Final answer
    x = 116,830.82

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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.