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Finding the Third Proportional to 36,964 and 65,720

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Solution

The third proportional to 36,964 and 65,720 is: 116,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,964 : 65,720 = 65,720 : x
  2. Step 2: Convert to fraction form
    36,964/65,720 = 65,720/x
  3. Step 3: Cross multiply
    36,964x = 65,720 × 65,720
  4. Step 4: Simplify right side
    36,964x = 4,319,118,400
  5. Step 5: Solve for x
    x = 4,319,118,400/36,964
  6. Step 6: Final answer
    x = 116,846.62

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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.