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Finding the Third Proportional to 43,699 and 65,764

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Solution

The third proportional to 43,699 and 65,764 is: 98,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,699 : 65,764 = 65,764 : x
  2. Step 2: Convert to fraction form
    43,699/65,764 = 65,764/x
  3. Step 3: Cross multiply
    43,699x = 65,764 × 65,764
  4. Step 4: Simplify right side
    43,699x = 4,324,903,696
  5. Step 5: Solve for x
    x = 4,324,903,696/43,699
  6. Step 6: Final answer
    x = 98,970.31

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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.