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Finding the Third Proportional to 43,702 and 65,769

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Solution

The third proportional to 43,702 and 65,769 is: 98,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,702 : 65,769 = 65,769 : x
  2. Step 2: Convert to fraction form
    43,702/65,769 = 65,769/x
  3. Step 3: Cross multiply
    43,702x = 65,769 × 65,769
  4. Step 4: Simplify right side
    43,702x = 4,325,561,361
  5. Step 5: Solve for x
    x = 4,325,561,361/43,702
  6. Step 6: Final answer
    x = 98,978.57

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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.