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Finding the Third Proportional to 43,708 and 65,589

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Solution

The third proportional to 43,708 and 65,589 is: 98,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,708 : 65,589 = 65,589 : x
  2. Step 2: Convert to fraction form
    43,708/65,589 = 65,589/x
  3. Step 3: Cross multiply
    43,708x = 65,589 × 65,589
  4. Step 4: Simplify right side
    43,708x = 4,301,916,921
  5. Step 5: Solve for x
    x = 4,301,916,921/43,708
  6. Step 6: Final answer
    x = 98,424.02

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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.