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Finding the Third Proportional to 43,656 and 65,412

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Solution

The third proportional to 43,656 and 65,412 is: 98,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,656 : 65,412 = 65,412 : x
  2. Step 2: Convert to fraction form
    43,656/65,412 = 65,412/x
  3. Step 3: Cross multiply
    43,656x = 65,412 × 65,412
  4. Step 4: Simplify right side
    43,656x = 4,278,729,744
  5. Step 5: Solve for x
    x = 4,278,729,744/43,656
  6. Step 6: Final answer
    x = 98,010.12

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