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Finding the Third Proportional to 23,911.75 and 35,099.63

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Solution

The third proportional to 23,911.75 and 35,099.63 is: 51,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911.75 : 35,099.63 = 35,099.63 : x
  2. Step 2: Convert to fraction form
    23,911.75/35,099.63 = 35,099.63/x
  3. Step 3: Cross multiply
    23,911.75x = 35,099.63 × 35,099.63
  4. Step 4: Simplify right side
    23,911.75x = 1,231,983,675.14
  5. Step 5: Solve for x
    x = 1,231,983,675.14/23,911.75
  6. Step 6: Final answer
    x = 51,522.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.