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Finding the Third Proportional to 43,766 and 65,634

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Solution

The third proportional to 43,766 and 65,634 is: 98,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,766 : 65,634 = 65,634 : x
  2. Step 2: Convert to fraction form
    43,766/65,634 = 65,634/x
  3. Step 3: Cross multiply
    43,766x = 65,634 × 65,634
  4. Step 4: Simplify right side
    43,766x = 4,307,821,956
  5. Step 5: Solve for x
    x = 4,307,821,956/43,766
  6. Step 6: Final answer
    x = 98,428.51

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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.