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Finding the Third Proportional to 43,814 and 65,655

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Solution

The third proportional to 43,814 and 65,655 is: 98,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814 : 65,655 = 65,655 : x
  2. Step 2: Convert to fraction form
    43,814/65,655 = 65,655/x
  3. Step 3: Cross multiply
    43,814x = 65,655 × 65,655
  4. Step 4: Simplify right side
    43,814x = 4,310,579,025
  5. Step 5: Solve for x
    x = 4,310,579,025/43,814
  6. Step 6: Final answer
    x = 98,383.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.