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Finding the Third Proportional to 43,650 and 66,284

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Solution

The third proportional to 43,650 and 66,284 is: 100,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,650 : 66,284 = 66,284 : x
  2. Step 2: Convert to fraction form
    43,650/66,284 = 66,284/x
  3. Step 3: Cross multiply
    43,650x = 66,284 × 66,284
  4. Step 4: Simplify right side
    43,650x = 4,393,568,656
  5. Step 5: Solve for x
    x = 4,393,568,656/43,650
  6. Step 6: Final answer
    x = 100,654.49

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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.