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Finding the Third Proportional to 43,814 and 66,805

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Solution

The third proportional to 43,814 and 66,805 is: 101,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814 : 66,805 = 66,805 : x
  2. Step 2: Convert to fraction form
    43,814/66,805 = 66,805/x
  3. Step 3: Cross multiply
    43,814x = 66,805 × 66,805
  4. Step 4: Simplify right side
    43,814x = 4,462,908,025
  5. Step 5: Solve for x
    x = 4,462,908,025/43,814
  6. Step 6: Final answer
    x = 101,860.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.