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Finding the Third Proportional to 43,664 and 65,424

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Solution

The third proportional to 43,664 and 65,424 is: 98,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664 : 65,424 = 65,424 : x
  2. Step 2: Convert to fraction form
    43,664/65,424 = 65,424/x
  3. Step 3: Cross multiply
    43,664x = 65,424 × 65,424
  4. Step 4: Simplify right side
    43,664x = 4,280,299,776
  5. Step 5: Solve for x
    x = 4,280,299,776/43,664
  6. Step 6: Final answer
    x = 98,028.12

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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.