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Finding the Third Proportional to 43,454 and 65,019

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Solution

The third proportional to 43,454 and 65,019 is: 97,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,454 : 65,019 = 65,019 : x
  2. Step 2: Convert to fraction form
    43,454/65,019 = 65,019/x
  3. Step 3: Cross multiply
    43,454x = 65,019 × 65,019
  4. Step 4: Simplify right side
    43,454x = 4,227,470,361
  5. Step 5: Solve for x
    x = 4,227,470,361/43,454
  6. Step 6: Final answer
    x = 97,286.10

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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.