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Finding the Third Proportional to 43,768 and 65,696

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Solution

The third proportional to 43,768 and 65,696 is: 98,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 65,696 = 65,696 : x
  2. Step 2: Convert to fraction form
    43,768/65,696 = 65,696/x
  3. Step 3: Cross multiply
    43,768x = 65,696 × 65,696
  4. Step 4: Simplify right side
    43,768x = 4,315,964,416
  5. Step 5: Solve for x
    x = 4,315,964,416/43,768
  6. Step 6: Final answer
    x = 98,610.04

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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.