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Finding the Third Proportional to 10,857.75 and 23,554.69

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Solution

The third proportional to 10,857.75 and 23,554.69 is: 51,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.75 : 23,554.69 = 23,554.69 : x
  2. Step 2: Convert to fraction form
    10,857.75/23,554.69 = 23,554.69/x
  3. Step 3: Cross multiply
    10,857.75x = 23,554.69 × 23,554.69
  4. Step 4: Simplify right side
    10,857.75x = 554,823,303.22
  5. Step 5: Solve for x
    x = 554,823,303.22/10,857.75
  6. Step 6: Final answer
    x = 51,099.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.